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Finding the Third Proportional to 6,412.92 and 8,964.42

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Solution

The third proportional to 6,412.92 and 8,964.42 is: 12,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.92 : 8,964.42 = 8,964.42 : x
  2. Step 2: Convert to fraction form
    6,412.92/8,964.42 = 8,964.42/x
  3. Step 3: Cross multiply
    6,412.92x = 8,964.42 × 8,964.42
  4. Step 4: Simplify right side
    6,412.92x = 80,360,859.55
  5. Step 5: Solve for x
    x = 80,360,859.55/6,412.92
  6. Step 6: Final answer
    x = 12,531.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.