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Finding the Third Proportional to 12,743.50 and 27,947

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Solution

The third proportional to 12,743.50 and 27,947 is: 61,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.50 : 27,947 = 27,947 : x
  2. Step 2: Convert to fraction form
    12,743.50/27,947 = 27,947/x
  3. Step 3: Cross multiply
    12,743.50x = 27,947 × 27,947
  4. Step 4: Simplify right side
    12,743.50x = 781,034,809
  5. Step 5: Solve for x
    x = 781,034,809/12,743.50
  6. Step 6: Final answer
    x = 61,288.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.