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Finding the Third Proportional to 26,542 and 57,776

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Solution

The third proportional to 26,542 and 57,776 is: 125,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542 : 57,776 = 57,776 : x
  2. Step 2: Convert to fraction form
    26,542/57,776 = 57,776/x
  3. Step 3: Cross multiply
    26,542x = 57,776 × 57,776
  4. Step 4: Simplify right side
    26,542x = 3,338,066,176
  5. Step 5: Solve for x
    x = 3,338,066,176/26,542
  6. Step 6: Final answer
    x = 125,765.44

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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.