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Finding the Third Proportional to 39,295.13 and 57,115.13

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Solution

The third proportional to 39,295.13 and 57,115.13 is: 83,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,295.13 : 57,115.13 = 57,115.13 : x
  2. Step 2: Convert to fraction form
    39,295.13/57,115.13 = 57,115.13/x
  3. Step 3: Cross multiply
    39,295.13x = 57,115.13 × 57,115.13
  4. Step 4: Simplify right side
    39,295.13x = 3,262,137,503.77
  5. Step 5: Solve for x
    x = 3,262,137,503.77/39,295.13
  6. Step 6: Final answer
    x = 83,016.34

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.