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Finding the Third Proportional to 34,703.44 and 71,872.31

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Solution

The third proportional to 34,703.44 and 71,872.31 is: 148,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703.44 : 71,872.31 = 71,872.31 : x
  2. Step 2: Convert to fraction form
    34,703.44/71,872.31 = 71,872.31/x
  3. Step 3: Cross multiply
    34,703.44x = 71,872.31 × 71,872.31
  4. Step 4: Simplify right side
    34,703.44x = 5,165,629,304.10
  5. Step 5: Solve for x
    x = 5,165,629,304.10/34,703.44
  6. Step 6: Final answer
    x = 148,850.65

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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.