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Finding the Third Proportional to 6,641.50 and 14,451.50

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Solution

The third proportional to 6,641.50 and 14,451.50 is: 31,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.50 : 14,451.50 = 14,451.50 : x
  2. Step 2: Convert to fraction form
    6,641.50/14,451.50 = 14,451.50/x
  3. Step 3: Cross multiply
    6,641.50x = 14,451.50 × 14,451.50
  4. Step 4: Simplify right side
    6,641.50x = 208,845,852.25
  5. Step 5: Solve for x
    x = 208,845,852.25/6,641.50
  6. Step 6: Final answer
    x = 31,445.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.