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Finding the Third Proportional to 25,987 and 55,074

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Solution

The third proportional to 25,987 and 55,074 is: 116,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987 : 55,074 = 55,074 : x
  2. Step 2: Convert to fraction form
    25,987/55,074 = 55,074/x
  3. Step 3: Cross multiply
    25,987x = 55,074 × 55,074
  4. Step 4: Simplify right side
    25,987x = 3,033,145,476
  5. Step 5: Solve for x
    x = 3,033,145,476/25,987
  6. Step 6: Final answer
    x = 116,717.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.