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Finding the Third Proportional to 15,776 and 22,432

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Solution

The third proportional to 15,776 and 22,432 is: 31,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 22,432 = 22,432 : x
  2. Step 2: Convert to fraction form
    15,776/22,432 = 22,432/x
  3. Step 3: Cross multiply
    15,776x = 22,432 × 22,432
  4. Step 4: Simplify right side
    15,776x = 503,194,624
  5. Step 5: Solve for x
    x = 503,194,624/15,776
  6. Step 6: Final answer
    x = 31,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.