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Finding the Third Proportional to 15,272 and 22,832

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Solution

The third proportional to 15,272 and 22,832 is: 34,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,272 : 22,832 = 22,832 : x
  2. Step 2: Convert to fraction form
    15,272/22,832 = 22,832/x
  3. Step 3: Cross multiply
    15,272x = 22,832 × 22,832
  4. Step 4: Simplify right side
    15,272x = 521,300,224
  5. Step 5: Solve for x
    x = 521,300,224/15,272
  6. Step 6: Final answer
    x = 34,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.