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Finding the Third Proportional to 10,469 and 14,421

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Solution

The third proportional to 10,469 and 14,421 is: 19,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 14,421 = 14,421 : x
  2. Step 2: Convert to fraction form
    10,469/14,421 = 14,421/x
  3. Step 3: Cross multiply
    10,469x = 14,421 × 14,421
  4. Step 4: Simplify right side
    10,469x = 207,965,241
  5. Step 5: Solve for x
    x = 207,965,241/10,469
  6. Step 6: Final answer
    x = 19,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.