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Finding the Third Proportional to 32,197.50 and 49,812

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Solution

The third proportional to 32,197.50 and 49,812 is: 77,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.50 : 49,812 = 49,812 : x
  2. Step 2: Convert to fraction form
    32,197.50/49,812 = 49,812/x
  3. Step 3: Cross multiply
    32,197.50x = 49,812 × 49,812
  4. Step 4: Simplify right side
    32,197.50x = 2,481,235,344
  5. Step 5: Solve for x
    x = 2,481,235,344/32,197.50
  6. Step 6: Final answer
    x = 77,062.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.