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Finding the Third Proportional to 8,479.69 and 18,466.31

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Solution

The third proportional to 8,479.69 and 18,466.31 is: 40,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,479.69 : 18,466.31 = 18,466.31 : x
  2. Step 2: Convert to fraction form
    8,479.69/18,466.31 = 18,466.31/x
  3. Step 3: Cross multiply
    8,479.69x = 18,466.31 × 18,466.31
  4. Step 4: Simplify right side
    8,479.69x = 341,004,697.35
  5. Step 5: Solve for x
    x = 341,004,697.35/8,479.69
  6. Step 6: Final answer
    x = 40,214.30

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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.