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Finding the Third Proportional to 2,329.88 and 5,068.69

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Solution

The third proportional to 2,329.88 and 5,068.69 is: 11,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.88 : 5,068.69 = 5,068.69 : x
  2. Step 2: Convert to fraction form
    2,329.88/5,068.69 = 5,068.69/x
  3. Step 3: Cross multiply
    2,329.88x = 5,068.69 × 5,068.69
  4. Step 4: Simplify right side
    2,329.88x = 25,691,592.97
  5. Step 5: Solve for x
    x = 25,691,592.97/2,329.88
  6. Step 6: Final answer
    x = 11,027.03

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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.