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Finding the Third Proportional to 16,230 and 24,775

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Solution

The third proportional to 16,230 and 24,775 is: 37,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230 : 24,775 = 24,775 : x
  2. Step 2: Convert to fraction form
    16,230/24,775 = 24,775/x
  3. Step 3: Cross multiply
    16,230x = 24,775 × 24,775
  4. Step 4: Simplify right side
    16,230x = 613,800,625
  5. Step 5: Solve for x
    x = 613,800,625/16,230
  6. Step 6: Final answer
    x = 37,818.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.