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Finding the Third Proportional to 22,206 and 32,972

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Solution

The third proportional to 22,206 and 32,972 is: 48,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206 : 32,972 = 32,972 : x
  2. Step 2: Convert to fraction form
    22,206/32,972 = 32,972/x
  3. Step 3: Cross multiply
    22,206x = 32,972 × 32,972
  4. Step 4: Simplify right side
    22,206x = 1,087,152,784
  5. Step 5: Solve for x
    x = 1,087,152,784/22,206
  6. Step 6: Final answer
    x = 48,957.61

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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.