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Finding the Third Proportional to 32,000 and 68,624

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Solution

The third proportional to 32,000 and 68,624 is: 147,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000 : 68,624 = 68,624 : x
  2. Step 2: Convert to fraction form
    32,000/68,624 = 68,624/x
  3. Step 3: Cross multiply
    32,000x = 68,624 × 68,624
  4. Step 4: Simplify right side
    32,000x = 4,709,253,376
  5. Step 5: Solve for x
    x = 4,709,253,376/32,000
  6. Step 6: Final answer
    x = 147,164.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.