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Finding the Third Proportional to 10,288.03 and 13,791.75

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Solution

The third proportional to 10,288.03 and 13,791.75 is: 18,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.03 : 13,791.75 = 13,791.75 : x
  2. Step 2: Convert to fraction form
    10,288.03/13,791.75 = 13,791.75/x
  3. Step 3: Cross multiply
    10,288.03x = 13,791.75 × 13,791.75
  4. Step 4: Simplify right side
    10,288.03x = 190,212,368.06
  5. Step 5: Solve for x
    x = 190,212,368.06/10,288.03
  6. Step 6: Final answer
    x = 18,488.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.