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Finding the Third Proportional to 3,648.66 and 7,115.06

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Solution

The third proportional to 3,648.66 and 7,115.06 is: 13,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.66 : 7,115.06 = 7,115.06 : x
  2. Step 2: Convert to fraction form
    3,648.66/7,115.06 = 7,115.06/x
  3. Step 3: Cross multiply
    3,648.66x = 7,115.06 × 7,115.06
  4. Step 4: Simplify right side
    3,648.66x = 50,624,114.38
  5. Step 5: Solve for x
    x = 50,624,114.38/3,648.66
  6. Step 6: Final answer
    x = 13,874.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.