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Finding the Third Proportional to 26,961 and 58,132.50

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Solution

The third proportional to 26,961 and 58,132.50 is: 125,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961 : 58,132.50 = 58,132.50 : x
  2. Step 2: Convert to fraction form
    26,961/58,132.50 = 58,132.50/x
  3. Step 3: Cross multiply
    26,961x = 58,132.50 × 58,132.50
  4. Step 4: Simplify right side
    26,961x = 3,379,387,556.25
  5. Step 5: Solve for x
    x = 3,379,387,556.25/26,961
  6. Step 6: Final answer
    x = 125,343.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.