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Finding the Third Proportional to 12,889.13 and 26,947.69

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Solution

The third proportional to 12,889.13 and 26,947.69 is: 56,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.13 : 26,947.69 = 26,947.69 : x
  2. Step 2: Convert to fraction form
    12,889.13/26,947.69 = 26,947.69/x
  3. Step 3: Cross multiply
    12,889.13x = 26,947.69 × 26,947.69
  4. Step 4: Simplify right side
    12,889.13x = 726,177,861.60
  5. Step 5: Solve for x
    x = 726,177,861.60/12,889.13
  6. Step 6: Final answer
    x = 56,340.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.