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Finding the Third Proportional to 5,696 and 14,624

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Solution

The third proportional to 5,696 and 14,624 is: 37,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696 : 14,624 = 14,624 : x
  2. Step 2: Convert to fraction form
    5,696/14,624 = 14,624/x
  3. Step 3: Cross multiply
    5,696x = 14,624 × 14,624
  4. Step 4: Simplify right side
    5,696x = 213,861,376
  5. Step 5: Solve for x
    x = 213,861,376/5,696
  6. Step 6: Final answer
    x = 37,545.89

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.