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Finding the Third Proportional to 43,211.25 and 66,660.75

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Solution

The third proportional to 43,211.25 and 66,660.75 is: 102,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,211.25 : 66,660.75 = 66,660.75 : x
  2. Step 2: Convert to fraction form
    43,211.25/66,660.75 = 66,660.75/x
  3. Step 3: Cross multiply
    43,211.25x = 66,660.75 × 66,660.75
  4. Step 4: Simplify right side
    43,211.25x = 4,443,655,590.56
  5. Step 5: Solve for x
    x = 4,443,655,590.56/43,211.25
  6. Step 6: Final answer
    x = 102,835.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.