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Finding the Third Proportional to 952.38 and 2,294.16

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Solution

The third proportional to 952.38 and 2,294.16 is: 5,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.38 : 2,294.16 = 2,294.16 : x
  2. Step 2: Convert to fraction form
    952.38/2,294.16 = 2,294.16/x
  3. Step 3: Cross multiply
    952.38x = 2,294.16 × 2,294.16
  4. Step 4: Simplify right side
    952.38x = 5,263,152.90
  5. Step 5: Solve for x
    x = 5,263,152.90/952.38
  6. Step 6: Final answer
    x = 5,526.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.