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Finding the Third Proportional to 26,552 and 57,760

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Solution

The third proportional to 26,552 and 57,760 is: 125,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,552 : 57,760 = 57,760 : x
  2. Step 2: Convert to fraction form
    26,552/57,760 = 57,760/x
  3. Step 3: Cross multiply
    26,552x = 57,760 × 57,760
  4. Step 4: Simplify right side
    26,552x = 3,336,217,600
  5. Step 5: Solve for x
    x = 3,336,217,600/26,552
  6. Step 6: Final answer
    x = 125,648.45

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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.