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Finding the Third Proportional to 10,902.75 and 17,292.38

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Solution

The third proportional to 10,902.75 and 17,292.38 is: 27,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.75 : 17,292.38 = 17,292.38 : x
  2. Step 2: Convert to fraction form
    10,902.75/17,292.38 = 17,292.38/x
  3. Step 3: Cross multiply
    10,902.75x = 17,292.38 × 17,292.38
  4. Step 4: Simplify right side
    10,902.75x = 299,026,233.14
  5. Step 5: Solve for x
    x = 299,026,233.14/10,902.75
  6. Step 6: Final answer
    x = 27,426.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.