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Finding the Third Proportional to 24,800 and 31,520

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Solution

The third proportional to 24,800 and 31,520 is: 40,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800 : 31,520 = 31,520 : x
  2. Step 2: Convert to fraction form
    24,800/31,520 = 31,520/x
  3. Step 3: Cross multiply
    24,800x = 31,520 × 31,520
  4. Step 4: Simplify right side
    24,800x = 993,510,400
  5. Step 5: Solve for x
    x = 993,510,400/24,800
  6. Step 6: Final answer
    x = 40,060.90

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.