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Finding the Third Proportional to 32,809.38 and 67,806

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Solution

The third proportional to 32,809.38 and 67,806 is: 140,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.38 : 67,806 = 67,806 : x
  2. Step 2: Convert to fraction form
    32,809.38/67,806 = 67,806/x
  3. Step 3: Cross multiply
    32,809.38x = 67,806 × 67,806
  4. Step 4: Simplify right side
    32,809.38x = 4,597,653,636
  5. Step 5: Solve for x
    x = 4,597,653,636/32,809.38
  6. Step 6: Final answer
    x = 140,132.31

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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.