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Finding the Third Proportional to 32,372 and 65,932

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Solution

The third proportional to 32,372 and 65,932 is: 134,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372 : 65,932 = 65,932 : x
  2. Step 2: Convert to fraction form
    32,372/65,932 = 65,932/x
  3. Step 3: Cross multiply
    32,372x = 65,932 × 65,932
  4. Step 4: Simplify right side
    32,372x = 4,347,028,624
  5. Step 5: Solve for x
    x = 4,347,028,624/32,372
  6. Step 6: Final answer
    x = 134,283.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.