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Finding the Third Proportional to 2,082.66 and 4,435.03

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Solution

The third proportional to 2,082.66 and 4,435.03 is: 9,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.66 : 4,435.03 = 4,435.03 : x
  2. Step 2: Convert to fraction form
    2,082.66/4,435.03 = 4,435.03/x
  3. Step 3: Cross multiply
    2,082.66x = 4,435.03 × 4,435.03
  4. Step 4: Simplify right side
    2,082.66x = 19,669,502.19
  5. Step 5: Solve for x
    x = 19,669,502.19/2,082.66
  6. Step 6: Final answer
    x = 9,444.43

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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.