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Finding the Third Proportional to 32,667 and 50,277

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Solution

The third proportional to 32,667 and 50,277 is: 77,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667 : 50,277 = 50,277 : x
  2. Step 2: Convert to fraction form
    32,667/50,277 = 50,277/x
  3. Step 3: Cross multiply
    32,667x = 50,277 × 50,277
  4. Step 4: Simplify right side
    32,667x = 2,527,776,729
  5. Step 5: Solve for x
    x = 2,527,776,729/32,667
  6. Step 6: Final answer
    x = 77,380.13

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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.