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Finding the Third Proportional to 11,464 and 24,800

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Solution

The third proportional to 11,464 and 24,800 is: 53,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 24,800 = 24,800 : x
  2. Step 2: Convert to fraction form
    11,464/24,800 = 24,800/x
  3. Step 3: Cross multiply
    11,464x = 24,800 × 24,800
  4. Step 4: Simplify right side
    11,464x = 615,040,000
  5. Step 5: Solve for x
    x = 615,040,000/11,464
  6. Step 6: Final answer
    x = 53,649.69

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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.