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Finding the Third Proportional to 8,423 and 17,691

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Solution

The third proportional to 8,423 and 17,691 is: 37,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423 : 17,691 = 17,691 : x
  2. Step 2: Convert to fraction form
    8,423/17,691 = 17,691/x
  3. Step 3: Cross multiply
    8,423x = 17,691 × 17,691
  4. Step 4: Simplify right side
    8,423x = 312,971,481
  5. Step 5: Solve for x
    x = 312,971,481/8,423
  6. Step 6: Final answer
    x = 37,156.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.