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Finding the Third Proportional to 17,266.92 and 37,780.17

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Solution

The third proportional to 17,266.92 and 37,780.17 is: 82,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.92 : 37,780.17 = 37,780.17 : x
  2. Step 2: Convert to fraction form
    17,266.92/37,780.17 = 37,780.17/x
  3. Step 3: Cross multiply
    17,266.92x = 37,780.17 × 37,780.17
  4. Step 4: Simplify right side
    17,266.92x = 1,427,341,386.90
  5. Step 5: Solve for x
    x = 1,427,341,386.90/17,266.92
  6. Step 6: Final answer
    x = 82,663.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.