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Finding the Third Proportional to 26,873 and 58,525

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Solution

The third proportional to 26,873 and 58,525 is: 127,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,873 : 58,525 = 58,525 : x
  2. Step 2: Convert to fraction form
    26,873/58,525 = 58,525/x
  3. Step 3: Cross multiply
    26,873x = 58,525 × 58,525
  4. Step 4: Simplify right side
    26,873x = 3,425,175,625
  5. Step 5: Solve for x
    x = 3,425,175,625/26,873
  6. Step 6: Final answer
    x = 127,457.88

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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.