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Finding the Third Proportional to 27,941 and 58,987

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Solution

The third proportional to 27,941 and 58,987 is: 124,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941 : 58,987 = 58,987 : x
  2. Step 2: Convert to fraction form
    27,941/58,987 = 58,987/x
  3. Step 3: Cross multiply
    27,941x = 58,987 × 58,987
  4. Step 4: Simplify right side
    27,941x = 3,479,466,169
  5. Step 5: Solve for x
    x = 3,479,466,169/27,941
  6. Step 6: Final answer
    x = 124,529.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.