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Finding the Third Proportional to 32,372 and 66,991

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Solution

The third proportional to 32,372 and 66,991 is: 138,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372 : 66,991 = 66,991 : x
  2. Step 2: Convert to fraction form
    32,372/66,991 = 66,991/x
  3. Step 3: Cross multiply
    32,372x = 66,991 × 66,991
  4. Step 4: Simplify right side
    32,372x = 4,487,794,081
  5. Step 5: Solve for x
    x = 4,487,794,081/32,372
  6. Step 6: Final answer
    x = 138,631.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.