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Finding the Third Proportional to 14,396 and 31,624

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Solution

The third proportional to 14,396 and 31,624 is: 69,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396 : 31,624 = 31,624 : x
  2. Step 2: Convert to fraction form
    14,396/31,624 = 31,624/x
  3. Step 3: Cross multiply
    14,396x = 31,624 × 31,624
  4. Step 4: Simplify right side
    14,396x = 1,000,077,376
  5. Step 5: Solve for x
    x = 1,000,077,376/14,396
  6. Step 6: Final answer
    x = 69,469.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.