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Finding the Third Proportional to 5,947.59 and 12,954.66

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Solution

The third proportional to 5,947.59 and 12,954.66 is: 28,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.59 : 12,954.66 = 12,954.66 : x
  2. Step 2: Convert to fraction form
    5,947.59/12,954.66 = 12,954.66/x
  3. Step 3: Cross multiply
    5,947.59x = 12,954.66 × 12,954.66
  4. Step 4: Simplify right side
    5,947.59x = 167,823,118.56
  5. Step 5: Solve for x
    x = 167,823,118.56/5,947.59
  6. Step 6: Final answer
    x = 28,216.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.