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Finding the Third Proportional to 2,036.81 and 4,448.44

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Solution

The third proportional to 2,036.81 and 4,448.44 is: 9,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.81 : 4,448.44 = 4,448.44 : x
  2. Step 2: Convert to fraction form
    2,036.81/4,448.44 = 4,448.44/x
  3. Step 3: Cross multiply
    2,036.81x = 4,448.44 × 4,448.44
  4. Step 4: Simplify right side
    2,036.81x = 19,788,596.19
  5. Step 5: Solve for x
    x = 19,788,596.19/2,036.81
  6. Step 6: Final answer
    x = 9,715.47

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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.