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Finding the Third Proportional to 24,400 and 52,600

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Solution

The third proportional to 24,400 and 52,600 is: 113,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400 : 52,600 = 52,600 : x
  2. Step 2: Convert to fraction form
    24,400/52,600 = 52,600/x
  3. Step 3: Cross multiply
    24,400x = 52,600 × 52,600
  4. Step 4: Simplify right side
    24,400x = 2,766,760,000
  5. Step 5: Solve for x
    x = 2,766,760,000/24,400
  6. Step 6: Final answer
    x = 113,391.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.