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Finding the Third Proportional to 3,624 and 6,168

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Solution

The third proportional to 3,624 and 6,168 is: 10,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624 : 6,168 = 6,168 : x
  2. Step 2: Convert to fraction form
    3,624/6,168 = 6,168/x
  3. Step 3: Cross multiply
    3,624x = 6,168 × 6,168
  4. Step 4: Simplify right side
    3,624x = 38,044,224
  5. Step 5: Solve for x
    x = 38,044,224/3,624
  6. Step 6: Final answer
    x = 10,497.85

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.