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Finding the Third Proportional to 17,531.34 and 38,034.94

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Solution

The third proportional to 17,531.34 and 38,034.94 is: 82,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.34 : 38,034.94 = 38,034.94 : x
  2. Step 2: Convert to fraction form
    17,531.34/38,034.94 = 38,034.94/x
  3. Step 3: Cross multiply
    17,531.34x = 38,034.94 × 38,034.94
  4. Step 4: Simplify right side
    17,531.34x = 1,446,656,470.63
  5. Step 5: Solve for x
    x = 1,446,656,470.63/17,531.34
  6. Step 6: Final answer
    x = 82,518.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.