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Finding the Third Proportional to 2,947 and 4,261

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Solution

The third proportional to 2,947 and 4,261 is: 6,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947 : 4,261 = 4,261 : x
  2. Step 2: Convert to fraction form
    2,947/4,261 = 4,261/x
  3. Step 3: Cross multiply
    2,947x = 4,261 × 4,261
  4. Step 4: Simplify right side
    2,947x = 18,156,121
  5. Step 5: Solve for x
    x = 18,156,121/2,947
  6. Step 6: Final answer
    x = 6,160.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.