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Finding the Third Proportional to 3,328.59 and 7,169.77

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Solution

The third proportional to 3,328.59 and 7,169.77 is: 15,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.59 : 7,169.77 = 7,169.77 : x
  2. Step 2: Convert to fraction form
    3,328.59/7,169.77 = 7,169.77/x
  3. Step 3: Cross multiply
    3,328.59x = 7,169.77 × 7,169.77
  4. Step 4: Simplify right side
    3,328.59x = 51,405,539.12
  5. Step 5: Solve for x
    x = 51,405,539.12/3,328.59
  6. Step 6: Final answer
    x = 15,443.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.