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Finding the Third Proportional to 38,899.13 and 57,111.19

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Solution

The third proportional to 38,899.13 and 57,111.19 is: 83,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,899.13 : 57,111.19 = 57,111.19 : x
  2. Step 2: Convert to fraction form
    38,899.13/57,111.19 = 57,111.19/x
  3. Step 3: Cross multiply
    38,899.13x = 57,111.19 × 57,111.19
  4. Step 4: Simplify right side
    38,899.13x = 3,261,687,737.66
  5. Step 5: Solve for x
    x = 3,261,687,737.66/38,899.13
  6. Step 6: Final answer
    x = 83,849.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.