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Finding the Third Proportional to 34,645.50 and 51,891.75

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Solution

The third proportional to 34,645.50 and 51,891.75 is: 77,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645.50 : 51,891.75 = 51,891.75 : x
  2. Step 2: Convert to fraction form
    34,645.50/51,891.75 = 51,891.75/x
  3. Step 3: Cross multiply
    34,645.50x = 51,891.75 × 51,891.75
  4. Step 4: Simplify right side
    34,645.50x = 2,692,753,718.06
  5. Step 5: Solve for x
    x = 2,692,753,718.06/34,645.50
  6. Step 6: Final answer
    x = 77,723.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.