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Finding the Third Proportional to 8,596.13 and 12,853.69

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Solution

The third proportional to 8,596.13 and 12,853.69 is: 19,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.13 : 12,853.69 = 12,853.69 : x
  2. Step 2: Convert to fraction form
    8,596.13/12,853.69 = 12,853.69/x
  3. Step 3: Cross multiply
    8,596.13x = 12,853.69 × 12,853.69
  4. Step 4: Simplify right side
    8,596.13x = 165,217,282.35
  5. Step 5: Solve for x
    x = 165,217,282.35/8,596.13
  6. Step 6: Final answer
    x = 19,219.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.