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Finding the Third Proportional to 975.38 and 2,082.38

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Solution

The third proportional to 975.38 and 2,082.38 is: 4,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.38 : 2,082.38 = 2,082.38 : x
  2. Step 2: Convert to fraction form
    975.38/2,082.38 = 2,082.38/x
  3. Step 3: Cross multiply
    975.38x = 2,082.38 × 2,082.38
  4. Step 4: Simplify right side
    975.38x = 4,336,285.64
  5. Step 5: Solve for x
    x = 4,336,285.64/975.38
  6. Step 6: Final answer
    x = 4,445.76

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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.