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Finding the Third Proportional to 27,023 and 57,782

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Solution

The third proportional to 27,023 and 57,782 is: 123,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023 : 57,782 = 57,782 : x
  2. Step 2: Convert to fraction form
    27,023/57,782 = 57,782/x
  3. Step 3: Cross multiply
    27,023x = 57,782 × 57,782
  4. Step 4: Simplify right side
    27,023x = 3,338,759,524
  5. Step 5: Solve for x
    x = 3,338,759,524/27,023
  6. Step 6: Final answer
    x = 123,552.51

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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.