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Finding the Third Proportional to 5,668 and 10,624

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Solution

The third proportional to 5,668 and 10,624 is: 19,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668 : 10,624 = 10,624 : x
  2. Step 2: Convert to fraction form
    5,668/10,624 = 10,624/x
  3. Step 3: Cross multiply
    5,668x = 10,624 × 10,624
  4. Step 4: Simplify right side
    5,668x = 112,869,376
  5. Step 5: Solve for x
    x = 112,869,376/5,668
  6. Step 6: Final answer
    x = 19,913.44

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.