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Finding the Third Proportional to 32,538 and 66,612

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Solution

The third proportional to 32,538 and 66,612 is: 136,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538 : 66,612 = 66,612 : x
  2. Step 2: Convert to fraction form
    32,538/66,612 = 66,612/x
  3. Step 3: Cross multiply
    32,538x = 66,612 × 66,612
  4. Step 4: Simplify right side
    32,538x = 4,437,158,544
  5. Step 5: Solve for x
    x = 4,437,158,544/32,538
  6. Step 6: Final answer
    x = 136,368.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.