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Finding the Third Proportional to 2,368.69 and 3,553.31

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Solution

The third proportional to 2,368.69 and 3,553.31 is: 5,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.69 : 3,553.31 = 3,553.31 : x
  2. Step 2: Convert to fraction form
    2,368.69/3,553.31 = 3,553.31/x
  3. Step 3: Cross multiply
    2,368.69x = 3,553.31 × 3,553.31
  4. Step 4: Simplify right side
    2,368.69x = 12,626,029.72
  5. Step 5: Solve for x
    x = 12,626,029.72/2,368.69
  6. Step 6: Final answer
    x = 5,330.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.