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Finding the Third Proportional to 46,797.50 and 76,407

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Solution

The third proportional to 46,797.50 and 76,407 is: 124,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,797.50 : 76,407 = 76,407 : x
  2. Step 2: Convert to fraction form
    46,797.50/76,407 = 76,407/x
  3. Step 3: Cross multiply
    46,797.50x = 76,407 × 76,407
  4. Step 4: Simplify right side
    46,797.50x = 5,838,029,649
  5. Step 5: Solve for x
    x = 5,838,029,649/46,797.50
  6. Step 6: Final answer
    x = 124,750.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.