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Finding the Third Proportional to 24,729 and 37,086

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Solution

The third proportional to 24,729 and 37,086 is: 55,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729 : 37,086 = 37,086 : x
  2. Step 2: Convert to fraction form
    24,729/37,086 = 37,086/x
  3. Step 3: Cross multiply
    24,729x = 37,086 × 37,086
  4. Step 4: Simplify right side
    24,729x = 1,375,371,396
  5. Step 5: Solve for x
    x = 1,375,371,396/24,729
  6. Step 6: Final answer
    x = 55,617.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.