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Finding the Third Proportional to 26,518 and 57,769

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Solution

The third proportional to 26,518 and 57,769 is: 125,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,518 : 57,769 = 57,769 : x
  2. Step 2: Convert to fraction form
    26,518/57,769 = 57,769/x
  3. Step 3: Cross multiply
    26,518x = 57,769 × 57,769
  4. Step 4: Simplify right side
    26,518x = 3,337,257,361
  5. Step 5: Solve for x
    x = 3,337,257,361/26,518
  6. Step 6: Final answer
    x = 125,848.76

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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.