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Finding the Third Proportional to 26,446 and 57,500

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Solution

The third proportional to 26,446 and 57,500 is: 125,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446 : 57,500 = 57,500 : x
  2. Step 2: Convert to fraction form
    26,446/57,500 = 57,500/x
  3. Step 3: Cross multiply
    26,446x = 57,500 × 57,500
  4. Step 4: Simplify right side
    26,446x = 3,306,250,000
  5. Step 5: Solve for x
    x = 3,306,250,000/26,446
  6. Step 6: Final answer
    x = 125,018.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.