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Finding the Third Proportional to 41,273.50 and 68,288

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Solution

The third proportional to 41,273.50 and 68,288 is: 112,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,273.50 : 68,288 = 68,288 : x
  2. Step 2: Convert to fraction form
    41,273.50/68,288 = 68,288/x
  3. Step 3: Cross multiply
    41,273.50x = 68,288 × 68,288
  4. Step 4: Simplify right side
    41,273.50x = 4,663,250,944
  5. Step 5: Solve for x
    x = 4,663,250,944/41,273.50
  6. Step 6: Final answer
    x = 112,984.14

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.