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Finding the Third Proportional to 2,248.38 and 4,834.05

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Solution

The third proportional to 2,248.38 and 4,834.05 is: 10,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.38 : 4,834.05 = 4,834.05 : x
  2. Step 2: Convert to fraction form
    2,248.38/4,834.05 = 4,834.05/x
  3. Step 3: Cross multiply
    2,248.38x = 4,834.05 × 4,834.05
  4. Step 4: Simplify right side
    2,248.38x = 23,368,084.72
  5. Step 5: Solve for x
    x = 23,368,084.72/2,248.38
  6. Step 6: Final answer
    x = 10,393.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.