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Finding the Third Proportional to 37,864.13 and 59,401.13

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Solution

The third proportional to 37,864.13 and 59,401.13 is: 93,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,864.13 : 59,401.13 = 59,401.13 : x
  2. Step 2: Convert to fraction form
    37,864.13/59,401.13 = 59,401.13/x
  3. Step 3: Cross multiply
    37,864.13x = 59,401.13 × 59,401.13
  4. Step 4: Simplify right side
    37,864.13x = 3,528,493,651.27
  5. Step 5: Solve for x
    x = 3,528,493,651.27/37,864.13
  6. Step 6: Final answer
    x = 93,188.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.