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Finding the Third Proportional to 22,068 and 32,670

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Solution

The third proportional to 22,068 and 32,670 is: 48,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,068 : 32,670 = 32,670 : x
  2. Step 2: Convert to fraction form
    22,068/32,670 = 32,670/x
  3. Step 3: Cross multiply
    22,068x = 32,670 × 32,670
  4. Step 4: Simplify right side
    22,068x = 1,067,328,900
  5. Step 5: Solve for x
    x = 1,067,328,900/22,068
  6. Step 6: Final answer
    x = 48,365.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.