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Finding the Third Proportional to 15,496 and 22,932

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Solution

The third proportional to 15,496 and 22,932 is: 33,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 22,932 = 22,932 : x
  2. Step 2: Convert to fraction form
    15,496/22,932 = 22,932/x
  3. Step 3: Cross multiply
    15,496x = 22,932 × 22,932
  4. Step 4: Simplify right side
    15,496x = 525,876,624
  5. Step 5: Solve for x
    x = 525,876,624/15,496
  6. Step 6: Final answer
    x = 33,936.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.