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Finding the Third Proportional to 24,644 and 36,800

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Solution

The third proportional to 24,644 and 36,800 is: 54,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644 : 36,800 = 36,800 : x
  2. Step 2: Convert to fraction form
    24,644/36,800 = 36,800/x
  3. Step 3: Cross multiply
    24,644x = 36,800 × 36,800
  4. Step 4: Simplify right side
    24,644x = 1,354,240,000
  5. Step 5: Solve for x
    x = 1,354,240,000/24,644
  6. Step 6: Final answer
    x = 54,952.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.