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Finding the Third Proportional to 17,732.67 and 38,609.16

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Solution

The third proportional to 17,732.67 and 38,609.16 is: 84,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.67 : 38,609.16 = 38,609.16 : x
  2. Step 2: Convert to fraction form
    17,732.67/38,609.16 = 38,609.16/x
  3. Step 3: Cross multiply
    17,732.67x = 38,609.16 × 38,609.16
  4. Step 4: Simplify right side
    17,732.67x = 1,490,666,946.34
  5. Step 5: Solve for x
    x = 1,490,666,946.34/17,732.67
  6. Step 6: Final answer
    x = 84,063.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.