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Finding the Third Proportional to 32,891.75 and 69,221.75

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Solution

The third proportional to 32,891.75 and 69,221.75 is: 145,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.75 : 69,221.75 = 69,221.75 : x
  2. Step 2: Convert to fraction form
    32,891.75/69,221.75 = 69,221.75/x
  3. Step 3: Cross multiply
    32,891.75x = 69,221.75 × 69,221.75
  4. Step 4: Simplify right side
    32,891.75x = 4,791,650,673.06
  5. Step 5: Solve for x
    x = 4,791,650,673.06/32,891.75
  6. Step 6: Final answer
    x = 145,679.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.