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Finding the Third Proportional to 24,310 and 36,540

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Solution

The third proportional to 24,310 and 36,540 is: 54,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310 : 36,540 = 36,540 : x
  2. Step 2: Convert to fraction form
    24,310/36,540 = 36,540/x
  3. Step 3: Cross multiply
    24,310x = 36,540 × 36,540
  4. Step 4: Simplify right side
    24,310x = 1,335,171,600
  5. Step 5: Solve for x
    x = 1,335,171,600/24,310
  6. Step 6: Final answer
    x = 54,922.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.