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Finding the Third Proportional to 3,118.92 and 6,814.55

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Solution

The third proportional to 3,118.92 and 6,814.55 is: 14,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.92 : 6,814.55 = 6,814.55 : x
  2. Step 2: Convert to fraction form
    3,118.92/6,814.55 = 6,814.55/x
  3. Step 3: Cross multiply
    3,118.92x = 6,814.55 × 6,814.55
  4. Step 4: Simplify right side
    3,118.92x = 46,438,049.11
  5. Step 5: Solve for x
    x = 46,438,049.11/3,118.92
  6. Step 6: Final answer
    x = 14,889.14

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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.