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Finding the Third Proportional to 7,224.19 and 10,027.55

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Solution

The third proportional to 7,224.19 and 10,027.55 is: 13,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.19 : 10,027.55 = 10,027.55 : x
  2. Step 2: Convert to fraction form
    7,224.19/10,027.55 = 10,027.55/x
  3. Step 3: Cross multiply
    7,224.19x = 10,027.55 × 10,027.55
  4. Step 4: Simplify right side
    7,224.19x = 100,551,696.33
  5. Step 5: Solve for x
    x = 100,551,696.33/7,224.19
  6. Step 6: Final answer
    x = 13,918.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.