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Finding the Third Proportional to 14,452 and 27,068

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Solution

The third proportional to 14,452 and 27,068 is: 50,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452 : 27,068 = 27,068 : x
  2. Step 2: Convert to fraction form
    14,452/27,068 = 27,068/x
  3. Step 3: Cross multiply
    14,452x = 27,068 × 27,068
  4. Step 4: Simplify right side
    14,452x = 732,676,624
  5. Step 5: Solve for x
    x = 732,676,624/14,452
  6. Step 6: Final answer
    x = 50,697.25

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.