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Finding the Third Proportional to 22,754 and 32,667

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Solution

The third proportional to 22,754 and 32,667 is: 46,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754 : 32,667 = 32,667 : x
  2. Step 2: Convert to fraction form
    22,754/32,667 = 32,667/x
  3. Step 3: Cross multiply
    22,754x = 32,667 × 32,667
  4. Step 4: Simplify right side
    22,754x = 1,067,132,889
  5. Step 5: Solve for x
    x = 1,067,132,889/22,754
  6. Step 6: Final answer
    x = 46,898.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.