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Finding the Third Proportional to 3,946.85 and 8,339.01

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Solution

The third proportional to 3,946.85 and 8,339.01 is: 17,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.85 : 8,339.01 = 8,339.01 : x
  2. Step 2: Convert to fraction form
    3,946.85/8,339.01 = 8,339.01/x
  3. Step 3: Cross multiply
    3,946.85x = 8,339.01 × 8,339.01
  4. Step 4: Simplify right side
    3,946.85x = 69,539,010.58
  5. Step 5: Solve for x
    x = 69,539,010.58/3,946.85
  6. Step 6: Final answer
    x = 17,618.86

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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.