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Finding the Third Proportional to 3,141 and 4,867

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Solution

The third proportional to 3,141 and 4,867 is: 7,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,867 = 4,867 : x
  2. Step 2: Convert to fraction form
    3,141/4,867 = 4,867/x
  3. Step 3: Cross multiply
    3,141x = 4,867 × 4,867
  4. Step 4: Simplify right side
    3,141x = 23,687,689
  5. Step 5: Solve for x
    x = 23,687,689/3,141
  6. Step 6: Final answer
    x = 7,541.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.