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Finding the Third Proportional to 3,264.75 and 7,115.63

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Solution

The third proportional to 3,264.75 and 7,115.63 is: 15,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.75 : 7,115.63 = 7,115.63 : x
  2. Step 2: Convert to fraction form
    3,264.75/7,115.63 = 7,115.63/x
  3. Step 3: Cross multiply
    3,264.75x = 7,115.63 × 7,115.63
  4. Step 4: Simplify right side
    3,264.75x = 50,632,119.14
  5. Step 5: Solve for x
    x = 50,632,119.14/3,264.75
  6. Step 6: Final answer
    x = 15,508.73

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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.