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Finding the Third Proportional to 26,975 and 58,039

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Solution

The third proportional to 26,975 and 58,039 is: 124,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975 : 58,039 = 58,039 : x
  2. Step 2: Convert to fraction form
    26,975/58,039 = 58,039/x
  3. Step 3: Cross multiply
    26,975x = 58,039 × 58,039
  4. Step 4: Simplify right side
    26,975x = 3,368,525,521
  5. Step 5: Solve for x
    x = 3,368,525,521/26,975
  6. Step 6: Final answer
    x = 124,875.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.