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Finding the Third Proportional to 4,159.69 and 8,466.19

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Solution

The third proportional to 4,159.69 and 8,466.19 is: 17,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.69 : 8,466.19 = 8,466.19 : x
  2. Step 2: Convert to fraction form
    4,159.69/8,466.19 = 8,466.19/x
  3. Step 3: Cross multiply
    4,159.69x = 8,466.19 × 8,466.19
  4. Step 4: Simplify right side
    4,159.69x = 71,676,330.79
  5. Step 5: Solve for x
    x = 71,676,330.79/4,159.69
  6. Step 6: Final answer
    x = 17,231.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.