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Finding the Third Proportional to 24,710 and 36,975

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Solution

The third proportional to 24,710 and 36,975 is: 55,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710 : 36,975 = 36,975 : x
  2. Step 2: Convert to fraction form
    24,710/36,975 = 36,975/x
  3. Step 3: Cross multiply
    24,710x = 36,975 × 36,975
  4. Step 4: Simplify right side
    24,710x = 1,367,150,625
  5. Step 5: Solve for x
    x = 1,367,150,625/24,710
  6. Step 6: Final answer
    x = 55,327.83

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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.