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Finding the Third Proportional to 34,918 and 55,743

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Solution

The third proportional to 34,918 and 55,743 is: 88,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,918 : 55,743 = 55,743 : x
  2. Step 2: Convert to fraction form
    34,918/55,743 = 55,743/x
  3. Step 3: Cross multiply
    34,918x = 55,743 × 55,743
  4. Step 4: Simplify right side
    34,918x = 3,107,282,049
  5. Step 5: Solve for x
    x = 3,107,282,049/34,918
  6. Step 6: Final answer
    x = 88,987.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.