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Finding the Third Proportional to 32,622 and 68,747

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Solution

The third proportional to 32,622 and 68,747 is: 144,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622 : 68,747 = 68,747 : x
  2. Step 2: Convert to fraction form
    32,622/68,747 = 68,747/x
  3. Step 3: Cross multiply
    32,622x = 68,747 × 68,747
  4. Step 4: Simplify right side
    32,622x = 4,726,150,009
  5. Step 5: Solve for x
    x = 4,726,150,009/32,622
  6. Step 6: Final answer
    x = 144,876.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.