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Finding the Third Proportional to 26,498 and 58,220

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Solution

The third proportional to 26,498 and 58,220 is: 127,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498 : 58,220 = 58,220 : x
  2. Step 2: Convert to fraction form
    26,498/58,220 = 58,220/x
  3. Step 3: Cross multiply
    26,498x = 58,220 × 58,220
  4. Step 4: Simplify right side
    26,498x = 3,389,568,400
  5. Step 5: Solve for x
    x = 3,389,568,400/26,498
  6. Step 6: Final answer
    x = 127,917.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.