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Finding the Third Proportional to 966.07 and 2,057.08

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Solution

The third proportional to 966.07 and 2,057.08 is: 4,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.07 : 2,057.08 = 2,057.08 : x
  2. Step 2: Convert to fraction form
    966.07/2,057.08 = 2,057.08/x
  3. Step 3: Cross multiply
    966.07x = 2,057.08 × 2,057.08
  4. Step 4: Simplify right side
    966.07x = 4,231,560.37
  5. Step 5: Solve for x
    x = 4,231,560.37/966.07
  6. Step 6: Final answer
    x = 4,380.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.