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Finding the Third Proportional to 32,750 and 50,368

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Solution

The third proportional to 32,750 and 50,368 is: 77,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750 : 50,368 = 50,368 : x
  2. Step 2: Convert to fraction form
    32,750/50,368 = 50,368/x
  3. Step 3: Cross multiply
    32,750x = 50,368 × 50,368
  4. Step 4: Simplify right side
    32,750x = 2,536,935,424
  5. Step 5: Solve for x
    x = 2,536,935,424/32,750
  6. Step 6: Final answer
    x = 77,463.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.