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Finding the Third Proportional to 24,318 and 52,086

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Solution

The third proportional to 24,318 and 52,086 is: 111,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318 : 52,086 = 52,086 : x
  2. Step 2: Convert to fraction form
    24,318/52,086 = 52,086/x
  3. Step 3: Cross multiply
    24,318x = 52,086 × 52,086
  4. Step 4: Simplify right side
    24,318x = 2,712,951,396
  5. Step 5: Solve for x
    x = 2,712,951,396/24,318
  6. Step 6: Final answer
    x = 111,561.45

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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.