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Finding the Third Proportional to 6,432 and 9,624

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Solution

The third proportional to 6,432 and 9,624 is: 14,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432 : 9,624 = 9,624 : x
  2. Step 2: Convert to fraction form
    6,432/9,624 = 9,624/x
  3. Step 3: Cross multiply
    6,432x = 9,624 × 9,624
  4. Step 4: Simplify right side
    6,432x = 92,621,376
  5. Step 5: Solve for x
    x = 92,621,376/6,432
  6. Step 6: Final answer
    x = 14,400.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.