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Finding the Third Proportional to 3,647.85 and 5,134.32

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Solution

The third proportional to 3,647.85 and 5,134.32 is: 7,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.85 : 5,134.32 = 5,134.32 : x
  2. Step 2: Convert to fraction form
    3,647.85/5,134.32 = 5,134.32/x
  3. Step 3: Cross multiply
    3,647.85x = 5,134.32 × 5,134.32
  4. Step 4: Simplify right side
    3,647.85x = 26,361,285.18
  5. Step 5: Solve for x
    x = 26,361,285.18/3,647.85
  6. Step 6: Final answer
    x = 7,226.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.