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Finding the Third Proportional to 2,036.39 and 4,443.61

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Solution

The third proportional to 2,036.39 and 4,443.61 is: 9,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.39 : 4,443.61 = 4,443.61 : x
  2. Step 2: Convert to fraction form
    2,036.39/4,443.61 = 4,443.61/x
  3. Step 3: Cross multiply
    2,036.39x = 4,443.61 × 4,443.61
  4. Step 4: Simplify right side
    2,036.39x = 19,745,664.28
  5. Step 5: Solve for x
    x = 19,745,664.28/2,036.39
  6. Step 6: Final answer
    x = 9,696.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.