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Finding the Third Proportional to 18,744.75 and 40,159.13

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Solution

The third proportional to 18,744.75 and 40,159.13 is: 86,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,744.75 : 40,159.13 = 40,159.13 : x
  2. Step 2: Convert to fraction form
    18,744.75/40,159.13 = 40,159.13/x
  3. Step 3: Cross multiply
    18,744.75x = 40,159.13 × 40,159.13
  4. Step 4: Simplify right side
    18,744.75x = 1,612,755,320.77
  5. Step 5: Solve for x
    x = 1,612,755,320.77/18,744.75
  6. Step 6: Final answer
    x = 86,037.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.