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Finding the Third Proportional to 43,675.50 and 95,289

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Solution

The third proportional to 43,675.50 and 95,289 is: 207,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,675.50 : 95,289 = 95,289 : x
  2. Step 2: Convert to fraction form
    43,675.50/95,289 = 95,289/x
  3. Step 3: Cross multiply
    43,675.50x = 95,289 × 95,289
  4. Step 4: Simplify right side
    43,675.50x = 9,079,993,521
  5. Step 5: Solve for x
    x = 9,079,993,521/43,675.50
  6. Step 6: Final answer
    x = 207,896.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.