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Finding the Third Proportional to 3,166.56 and 6,890.52

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Solution

The third proportional to 3,166.56 and 6,890.52 is: 14,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.56 : 6,890.52 = 6,890.52 : x
  2. Step 2: Convert to fraction form
    3,166.56/6,890.52 = 6,890.52/x
  3. Step 3: Cross multiply
    3,166.56x = 6,890.52 × 6,890.52
  4. Step 4: Simplify right side
    3,166.56x = 47,479,259.41
  5. Step 5: Solve for x
    x = 47,479,259.41/3,166.56
  6. Step 6: Final answer
    x = 14,993.96

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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.