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Finding the Third Proportional to 1,143.84 and 2,329.31

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Solution

The third proportional to 1,143.84 and 2,329.31 is: 4,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.84 : 2,329.31 = 2,329.31 : x
  2. Step 2: Convert to fraction form
    1,143.84/2,329.31 = 2,329.31/x
  3. Step 3: Cross multiply
    1,143.84x = 2,329.31 × 2,329.31
  4. Step 4: Simplify right side
    1,143.84x = 5,425,696.72
  5. Step 5: Solve for x
    x = 5,425,696.72/1,143.84
  6. Step 6: Final answer
    x = 4,743.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.