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Finding the Third Proportional to 10,086 and 14,687

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Solution

The third proportional to 10,086 and 14,687 is: 21,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 14,687 = 14,687 : x
  2. Step 2: Convert to fraction form
    10,086/14,687 = 14,687/x
  3. Step 3: Cross multiply
    10,086x = 14,687 × 14,687
  4. Step 4: Simplify right side
    10,086x = 215,707,969
  5. Step 5: Solve for x
    x = 215,707,969/10,086
  6. Step 6: Final answer
    x = 21,386.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.