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Finding the Third Proportional to 24,357 and 52,008

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Solution

The third proportional to 24,357 and 52,008 is: 111,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357 : 52,008 = 52,008 : x
  2. Step 2: Convert to fraction form
    24,357/52,008 = 52,008/x
  3. Step 3: Cross multiply
    24,357x = 52,008 × 52,008
  4. Step 4: Simplify right side
    24,357x = 2,704,832,064
  5. Step 5: Solve for x
    x = 2,704,832,064/24,357
  6. Step 6: Final answer
    x = 111,049.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.