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Finding the Third Proportional to 38,104.88 and 59,338.13

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Solution

The third proportional to 38,104.88 and 59,338.13 is: 92,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.88 : 59,338.13 = 59,338.13 : x
  2. Step 2: Convert to fraction form
    38,104.88/59,338.13 = 59,338.13/x
  3. Step 3: Cross multiply
    38,104.88x = 59,338.13 × 59,338.13
  4. Step 4: Simplify right side
    38,104.88x = 3,521,013,078.52
  5. Step 5: Solve for x
    x = 3,521,013,078.52/38,104.88
  6. Step 6: Final answer
    x = 92,403.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.