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Finding the Third Proportional to 4,293 and 5,181

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Solution

The third proportional to 4,293 and 5,181 is: 6,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 5,181 = 5,181 : x
  2. Step 2: Convert to fraction form
    4,293/5,181 = 5,181/x
  3. Step 3: Cross multiply
    4,293x = 5,181 × 5,181
  4. Step 4: Simplify right side
    4,293x = 26,842,761
  5. Step 5: Solve for x
    x = 26,842,761/4,293
  6. Step 6: Final answer
    x = 6,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.