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Finding the Third Proportional to 16,202 and 24,375

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Solution

The third proportional to 16,202 and 24,375 is: 36,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 24,375 = 24,375 : x
  2. Step 2: Convert to fraction form
    16,202/24,375 = 24,375/x
  3. Step 3: Cross multiply
    16,202x = 24,375 × 24,375
  4. Step 4: Simplify right side
    16,202x = 594,140,625
  5. Step 5: Solve for x
    x = 594,140,625/16,202
  6. Step 6: Final answer
    x = 36,670.82

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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.