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Finding the Third Proportional to 1,107.84 and 2,398.22

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Solution

The third proportional to 1,107.84 and 2,398.22 is: 5,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.84 : 2,398.22 = 2,398.22 : x
  2. Step 2: Convert to fraction form
    1,107.84/2,398.22 = 2,398.22/x
  3. Step 3: Cross multiply
    1,107.84x = 2,398.22 × 2,398.22
  4. Step 4: Simplify right side
    1,107.84x = 5,751,453.17
  5. Step 5: Solve for x
    x = 5,751,453.17/1,107.84
  6. Step 6: Final answer
    x = 5,191.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.