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Finding the Third Proportional to 32,406 and 68,661

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Solution

The third proportional to 32,406 and 68,661 is: 145,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406 : 68,661 = 68,661 : x
  2. Step 2: Convert to fraction form
    32,406/68,661 = 68,661/x
  3. Step 3: Cross multiply
    32,406x = 68,661 × 68,661
  4. Step 4: Simplify right side
    32,406x = 4,714,332,921
  5. Step 5: Solve for x
    x = 4,714,332,921/32,406
  6. Step 6: Final answer
    x = 145,477.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.