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Finding the Third Proportional to 38,747.11 and 59,232.09

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Solution

The third proportional to 38,747.11 and 59,232.09 is: 90,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747.11 : 59,232.09 = 59,232.09 : x
  2. Step 2: Convert to fraction form
    38,747.11/59,232.09 = 59,232.09/x
  3. Step 3: Cross multiply
    38,747.11x = 59,232.09 × 59,232.09
  4. Step 4: Simplify right side
    38,747.11x = 3,508,440,930.01
  5. Step 5: Solve for x
    x = 3,508,440,930.01/38,747.11
  6. Step 6: Final answer
    x = 90,547.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.