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Finding the Third Proportional to 12,395 and 16,522

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Solution

The third proportional to 12,395 and 16,522 is: 22,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395 : 16,522 = 16,522 : x
  2. Step 2: Convert to fraction form
    12,395/16,522 = 16,522/x
  3. Step 3: Cross multiply
    12,395x = 16,522 × 16,522
  4. Step 4: Simplify right side
    12,395x = 272,976,484
  5. Step 5: Solve for x
    x = 272,976,484/12,395
  6. Step 6: Final answer
    x = 22,023.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.