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Finding the Third Proportional to 3,749,131.50 and 5,676,276

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Solution

The third proportional to 3,749,131.50 and 5,676,276 is: 8,594,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749,131.50 : 5,676,276 = 5,676,276 : x
  2. Step 2: Convert to fraction form
    3,749,131.50/5,676,276 = 5,676,276/x
  3. Step 3: Cross multiply
    3,749,131.50x = 5,676,276 × 5,676,276
  4. Step 4: Simplify right side
    3,749,131.50x = 32,220,109,228,176
  5. Step 5: Solve for x
    x = 32,220,109,228,176/3,749,131.50
  6. Step 6: Final answer
    x = 8,594,019.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.