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Finding the Third Proportional to 26,546 and 57,774

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Solution

The third proportional to 26,546 and 57,774 is: 125,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546 : 57,774 = 57,774 : x
  2. Step 2: Convert to fraction form
    26,546/57,774 = 57,774/x
  3. Step 3: Cross multiply
    26,546x = 57,774 × 57,774
  4. Step 4: Simplify right side
    26,546x = 3,337,835,076
  5. Step 5: Solve for x
    x = 3,337,835,076/26,546
  6. Step 6: Final answer
    x = 125,737.78

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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.