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Finding the Third Proportional to 4,150.44 and 6,166.88

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Solution

The third proportional to 4,150.44 and 6,166.88 is: 9,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.44 : 6,166.88 = 6,166.88 : x
  2. Step 2: Convert to fraction form
    4,150.44/6,166.88 = 6,166.88/x
  3. Step 3: Cross multiply
    4,150.44x = 6,166.88 × 6,166.88
  4. Step 4: Simplify right side
    4,150.44x = 38,030,347.27
  5. Step 5: Solve for x
    x = 38,030,347.27/4,150.44
  6. Step 6: Final answer
    x = 9,162.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.