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Finding the Third Proportional to 10,272 and 15,041

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Solution

The third proportional to 10,272 and 15,041 is: 22,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 15,041 = 15,041 : x
  2. Step 2: Convert to fraction form
    10,272/15,041 = 15,041/x
  3. Step 3: Cross multiply
    10,272x = 15,041 × 15,041
  4. Step 4: Simplify right side
    10,272x = 226,231,681
  5. Step 5: Solve for x
    x = 226,231,681/10,272
  6. Step 6: Final answer
    x = 22,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.