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Finding the Third Proportional to 12,029 and 16,387

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Solution

The third proportional to 12,029 and 16,387 is: 22,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029 : 16,387 = 16,387 : x
  2. Step 2: Convert to fraction form
    12,029/16,387 = 16,387/x
  3. Step 3: Cross multiply
    12,029x = 16,387 × 16,387
  4. Step 4: Simplify right side
    12,029x = 268,533,769
  5. Step 5: Solve for x
    x = 268,533,769/12,029
  6. Step 6: Final answer
    x = 22,323.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.