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Finding the Third Proportional to 14,086 and 15,382

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Solution

The third proportional to 14,086 and 15,382 is: 16,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086 : 15,382 = 15,382 : x
  2. Step 2: Convert to fraction form
    14,086/15,382 = 15,382/x
  3. Step 3: Cross multiply
    14,086x = 15,382 × 15,382
  4. Step 4: Simplify right side
    14,086x = 236,605,924
  5. Step 5: Solve for x
    x = 236,605,924/14,086
  6. Step 6: Final answer
    x = 16,797.24

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.