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Finding the Third Proportional to 22,000 and 32,952

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Solution

The third proportional to 22,000 and 32,952 is: 49,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000 : 32,952 = 32,952 : x
  2. Step 2: Convert to fraction form
    22,000/32,952 = 32,952/x
  3. Step 3: Cross multiply
    22,000x = 32,952 × 32,952
  4. Step 4: Simplify right side
    22,000x = 1,085,834,304
  5. Step 5: Solve for x
    x = 1,085,834,304/22,000
  6. Step 6: Final answer
    x = 49,356.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.