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Finding the Third Proportional to 5,752.69 and 13,552.31

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Solution

The third proportional to 5,752.69 and 13,552.31 is: 31,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.69 : 13,552.31 = 13,552.31 : x
  2. Step 2: Convert to fraction form
    5,752.69/13,552.31 = 13,552.31/x
  3. Step 3: Cross multiply
    5,752.69x = 13,552.31 × 13,552.31
  4. Step 4: Simplify right side
    5,752.69x = 183,665,174.10
  5. Step 5: Solve for x
    x = 183,665,174.10/5,752.69
  6. Step 6: Final answer
    x = 31,926.85

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.