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Finding the Third Proportional to 32,559 and 66,846

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Solution

The third proportional to 32,559 and 66,846 is: 137,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559 : 66,846 = 66,846 : x
  2. Step 2: Convert to fraction form
    32,559/66,846 = 66,846/x
  3. Step 3: Cross multiply
    32,559x = 66,846 × 66,846
  4. Step 4: Simplify right side
    32,559x = 4,468,387,716
  5. Step 5: Solve for x
    x = 4,468,387,716/32,559
  6. Step 6: Final answer
    x = 137,239.71

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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.