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Finding the Third Proportional to 2,101.78 and 4,443.19

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Solution

The third proportional to 2,101.78 and 4,443.19 is: 9,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.78 : 4,443.19 = 4,443.19 : x
  2. Step 2: Convert to fraction form
    2,101.78/4,443.19 = 4,443.19/x
  3. Step 3: Cross multiply
    2,101.78x = 4,443.19 × 4,443.19
  4. Step 4: Simplify right side
    2,101.78x = 19,741,915.16
  5. Step 5: Solve for x
    x = 19,741,915.16/2,101.78
  6. Step 6: Final answer
    x = 9,392.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.