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Finding the Third Proportional to 24,750 and 40,425

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Solution

The third proportional to 24,750 and 40,425 is: 66,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 40,425 = 40,425 : x
  2. Step 2: Convert to fraction form
    24,750/40,425 = 40,425/x
  3. Step 3: Cross multiply
    24,750x = 40,425 × 40,425
  4. Step 4: Simplify right side
    24,750x = 1,634,180,625
  5. Step 5: Solve for x
    x = 1,634,180,625/24,750
  6. Step 6: Final answer
    x = 66,027.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.