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Finding the Third Proportional to 24,046 and 52,147

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Solution

The third proportional to 24,046 and 52,147 is: 113,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046 : 52,147 = 52,147 : x
  2. Step 2: Convert to fraction form
    24,046/52,147 = 52,147/x
  3. Step 3: Cross multiply
    24,046x = 52,147 × 52,147
  4. Step 4: Simplify right side
    24,046x = 2,719,309,609
  5. Step 5: Solve for x
    x = 2,719,309,609/24,046
  6. Step 6: Final answer
    x = 113,087.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.