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Finding the Third Proportional to 13,624 and 15,521

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Solution

The third proportional to 13,624 and 15,521 is: 17,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624 : 15,521 = 15,521 : x
  2. Step 2: Convert to fraction form
    13,624/15,521 = 15,521/x
  3. Step 3: Cross multiply
    13,624x = 15,521 × 15,521
  4. Step 4: Simplify right side
    13,624x = 240,901,441
  5. Step 5: Solve for x
    x = 240,901,441/13,624
  6. Step 6: Final answer
    x = 17,682.14

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.