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Finding the Third Proportional to 39,109.71 and 57,254.98

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Solution

The third proportional to 39,109.71 and 57,254.98 is: 83,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,109.71 : 57,254.98 = 57,254.98 : x
  2. Step 2: Convert to fraction form
    39,109.71/57,254.98 = 57,254.98/x
  3. Step 3: Cross multiply
    39,109.71x = 57,254.98 × 57,254.98
  4. Step 4: Simplify right side
    39,109.71x = 3,278,132,341.17
  5. Step 5: Solve for x
    x = 3,278,132,341.17/39,109.71
  6. Step 6: Final answer
    x = 83,818.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.