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Finding the Third Proportional to 17,911.97 and 38,743.31

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Solution

The third proportional to 17,911.97 and 38,743.31 is: 83,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.97 : 38,743.31 = 38,743.31 : x
  2. Step 2: Convert to fraction form
    17,911.97/38,743.31 = 38,743.31/x
  3. Step 3: Cross multiply
    17,911.97x = 38,743.31 × 38,743.31
  4. Step 4: Simplify right side
    17,911.97x = 1,501,044,263.47
  5. Step 5: Solve for x
    x = 1,501,044,263.47/17,911.97
  6. Step 6: Final answer
    x = 83,801.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.