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Finding the Third Proportional to 5,400 and 12,522

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Solution

The third proportional to 5,400 and 12,522 is: 29,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 12,522 = 12,522 : x
  2. Step 2: Convert to fraction form
    5,400/12,522 = 12,522/x
  3. Step 3: Cross multiply
    5,400x = 12,522 × 12,522
  4. Step 4: Simplify right side
    5,400x = 156,800,484
  5. Step 5: Solve for x
    x = 156,800,484/5,400
  6. Step 6: Final answer
    x = 29,037.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.