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Finding the Third Proportional to 24,400 and 34,288

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Solution

The third proportional to 24,400 and 34,288 is: 48,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400 : 34,288 = 34,288 : x
  2. Step 2: Convert to fraction form
    24,400/34,288 = 34,288/x
  3. Step 3: Cross multiply
    24,400x = 34,288 × 34,288
  4. Step 4: Simplify right side
    24,400x = 1,175,666,944
  5. Step 5: Solve for x
    x = 1,175,666,944/24,400
  6. Step 6: Final answer
    x = 48,183.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.