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Finding the Third Proportional to 27,987 and 58,680

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Solution

The third proportional to 27,987 and 58,680 is: 123,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987 : 58,680 = 58,680 : x
  2. Step 2: Convert to fraction form
    27,987/58,680 = 58,680/x
  3. Step 3: Cross multiply
    27,987x = 58,680 × 58,680
  4. Step 4: Simplify right side
    27,987x = 3,443,342,400
  5. Step 5: Solve for x
    x = 3,443,342,400/27,987
  6. Step 6: Final answer
    x = 123,033.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.