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Finding the Third Proportional to 22,271 and 32,675

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Solution

The third proportional to 22,271 and 32,675 is: 47,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271 : 32,675 = 32,675 : x
  2. Step 2: Convert to fraction form
    22,271/32,675 = 32,675/x
  3. Step 3: Cross multiply
    22,271x = 32,675 × 32,675
  4. Step 4: Simplify right side
    22,271x = 1,067,655,625
  5. Step 5: Solve for x
    x = 1,067,655,625/22,271
  6. Step 6: Final answer
    x = 47,939.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.