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Finding the Third Proportional to 2,350.69 and 5,569.17

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Solution

The third proportional to 2,350.69 and 5,569.17 is: 13,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.69 : 5,569.17 = 5,569.17 : x
  2. Step 2: Convert to fraction form
    2,350.69/5,569.17 = 5,569.17/x
  3. Step 3: Cross multiply
    2,350.69x = 5,569.17 × 5,569.17
  4. Step 4: Simplify right side
    2,350.69x = 31,015,675.37
  5. Step 5: Solve for x
    x = 31,015,675.37/2,350.69
  6. Step 6: Final answer
    x = 13,194.30

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.