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Finding the Third Proportional to 10,691 and 14,302

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Solution

The third proportional to 10,691 and 14,302 is: 19,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691 : 14,302 = 14,302 : x
  2. Step 2: Convert to fraction form
    10,691/14,302 = 14,302/x
  3. Step 3: Cross multiply
    10,691x = 14,302 × 14,302
  4. Step 4: Simplify right side
    10,691x = 204,547,204
  5. Step 5: Solve for x
    x = 204,547,204/10,691
  6. Step 6: Final answer
    x = 19,132.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.