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Finding the Third Proportional to 4,024.69 and 8,479.69

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Solution

The third proportional to 4,024.69 and 8,479.69 is: 17,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.69 : 8,479.69 = 8,479.69 : x
  2. Step 2: Convert to fraction form
    4,024.69/8,479.69 = 8,479.69/x
  3. Step 3: Cross multiply
    4,024.69x = 8,479.69 × 8,479.69
  4. Step 4: Simplify right side
    4,024.69x = 71,905,100.10
  5. Step 5: Solve for x
    x = 71,905,100.10/4,024.69
  6. Step 6: Final answer
    x = 17,866.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.