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Finding the Third Proportional to 2,176.56 and 3,213.42

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Solution

The third proportional to 2,176.56 and 3,213.42 is: 4,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.56 : 3,213.42 = 3,213.42 : x
  2. Step 2: Convert to fraction form
    2,176.56/3,213.42 = 3,213.42/x
  3. Step 3: Cross multiply
    2,176.56x = 3,213.42 × 3,213.42
  4. Step 4: Simplify right side
    2,176.56x = 10,326,080.15
  5. Step 5: Solve for x
    x = 10,326,080.15/2,176.56
  6. Step 6: Final answer
    x = 4,744.22

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.