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Finding the Third Proportional to 3,186.21 and 4,849.56

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Solution

The third proportional to 3,186.21 and 4,849.56 is: 7,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.21 : 4,849.56 = 4,849.56 : x
  2. Step 2: Convert to fraction form
    3,186.21/4,849.56 = 4,849.56/x
  3. Step 3: Cross multiply
    3,186.21x = 4,849.56 × 4,849.56
  4. Step 4: Simplify right side
    3,186.21x = 23,518,218.55
  5. Step 5: Solve for x
    x = 23,518,218.55/3,186.21
  6. Step 6: Final answer
    x = 7,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.