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Finding the Third Proportional to 5,964.12 and 12,965.70

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Solution

The third proportional to 5,964.12 and 12,965.70 is: 28,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.12 : 12,965.70 = 12,965.70 : x
  2. Step 2: Convert to fraction form
    5,964.12/12,965.70 = 12,965.70/x
  3. Step 3: Cross multiply
    5,964.12x = 12,965.70 × 12,965.70
  4. Step 4: Simplify right side
    5,964.12x = 168,109,254.94
  5. Step 5: Solve for x
    x = 168,109,254.94/5,964.12
  6. Step 6: Final answer
    x = 28,186.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.