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Finding the Third Proportional to 24,617 and 54,157

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Solution

The third proportional to 24,617 and 54,157 is: 119,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617 : 54,157 = 54,157 : x
  2. Step 2: Convert to fraction form
    24,617/54,157 = 54,157/x
  3. Step 3: Cross multiply
    24,617x = 54,157 × 54,157
  4. Step 4: Simplify right side
    24,617x = 2,932,980,649
  5. Step 5: Solve for x
    x = 2,932,980,649/24,617
  6. Step 6: Final answer
    x = 119,144.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.