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Finding the Third Proportional to 3,647.53 and 5,699.11

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Solution

The third proportional to 3,647.53 and 5,699.11 is: 8,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.53 : 5,699.11 = 5,699.11 : x
  2. Step 2: Convert to fraction form
    3,647.53/5,699.11 = 5,699.11/x
  3. Step 3: Cross multiply
    3,647.53x = 5,699.11 × 5,699.11
  4. Step 4: Simplify right side
    3,647.53x = 32,479,847.67
  5. Step 5: Solve for x
    x = 32,479,847.67/3,647.53
  6. Step 6: Final answer
    x = 8,904.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.