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Finding the Third Proportional to 7,959.94 and 12,193.88

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Solution

The third proportional to 7,959.94 and 12,193.88 is: 18,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.94 : 12,193.88 = 12,193.88 : x
  2. Step 2: Convert to fraction form
    7,959.94/12,193.88 = 12,193.88/x
  3. Step 3: Cross multiply
    7,959.94x = 12,193.88 × 12,193.88
  4. Step 4: Simplify right side
    7,959.94x = 148,690,587.52
  5. Step 5: Solve for x
    x = 148,690,587.52/7,959.94
  6. Step 6: Final answer
    x = 18,679.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.