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Finding the Third Proportional to 21,998.25 and 29,170.13

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Solution

The third proportional to 21,998.25 and 29,170.13 is: 38,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.25 : 29,170.13 = 29,170.13 : x
  2. Step 2: Convert to fraction form
    21,998.25/29,170.13 = 29,170.13/x
  3. Step 3: Cross multiply
    21,998.25x = 29,170.13 × 29,170.13
  4. Step 4: Simplify right side
    21,998.25x = 850,896,192.52
  5. Step 5: Solve for x
    x = 850,896,192.52/21,998.25
  6. Step 6: Final answer
    x = 38,680.18

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.