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Finding the Third Proportional to 952.31 and 2,082.63

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Solution

The third proportional to 952.31 and 2,082.63 is: 4,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.31 : 2,082.63 = 2,082.63 : x
  2. Step 2: Convert to fraction form
    952.31/2,082.63 = 2,082.63/x
  3. Step 3: Cross multiply
    952.31x = 2,082.63 × 2,082.63
  4. Step 4: Simplify right side
    952.31x = 4,337,326.89
  5. Step 5: Solve for x
    x = 4,337,326.89/952.31
  6. Step 6: Final answer
    x = 4,554.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.