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Finding the Third Proportional to 26,757 and 57,217.50

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Solution

The third proportional to 26,757 and 57,217.50 is: 122,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,757 : 57,217.50 = 57,217.50 : x
  2. Step 2: Convert to fraction form
    26,757/57,217.50 = 57,217.50/x
  3. Step 3: Cross multiply
    26,757x = 57,217.50 × 57,217.50
  4. Step 4: Simplify right side
    26,757x = 3,273,842,306.25
  5. Step 5: Solve for x
    x = 3,273,842,306.25/26,757
  6. Step 6: Final answer
    x = 122,354.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.