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Finding the Third Proportional to 11,617 and 24,802

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Solution

The third proportional to 11,617 and 24,802 is: 52,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617 : 24,802 = 24,802 : x
  2. Step 2: Convert to fraction form
    11,617/24,802 = 24,802/x
  3. Step 3: Cross multiply
    11,617x = 24,802 × 24,802
  4. Step 4: Simplify right side
    11,617x = 615,139,204
  5. Step 5: Solve for x
    x = 615,139,204/11,617
  6. Step 6: Final answer
    x = 52,951.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.