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Finding the Third Proportional to 39,407.34 and 59,519.81

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Solution

The third proportional to 39,407.34 and 59,519.81 is: 89,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407.34 : 59,519.81 = 59,519.81 : x
  2. Step 2: Convert to fraction form
    39,407.34/59,519.81 = 59,519.81/x
  3. Step 3: Cross multiply
    39,407.34x = 59,519.81 × 59,519.81
  4. Step 4: Simplify right side
    39,407.34x = 3,542,608,080.04
  5. Step 5: Solve for x
    x = 3,542,608,080.04/39,407.34
  6. Step 6: Final answer
    x = 89,897.15

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