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Finding the Third Proportional to 10,586 and 16,379

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Solution

The third proportional to 10,586 and 16,379 is: 25,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 16,379 = 16,379 : x
  2. Step 2: Convert to fraction form
    10,586/16,379 = 16,379/x
  3. Step 3: Cross multiply
    10,586x = 16,379 × 16,379
  4. Step 4: Simplify right side
    10,586x = 268,271,641
  5. Step 5: Solve for x
    x = 268,271,641/10,586
  6. Step 6: Final answer
    x = 25,342.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.