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Finding the Third Proportional to 9,103.38 and 13,738.56

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Solution

The third proportional to 9,103.38 and 13,738.56 is: 20,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.38 : 13,738.56 = 13,738.56 : x
  2. Step 2: Convert to fraction form
    9,103.38/13,738.56 = 13,738.56/x
  3. Step 3: Cross multiply
    9,103.38x = 13,738.56 × 13,738.56
  4. Step 4: Simplify right side
    9,103.38x = 188,748,099.57
  5. Step 5: Solve for x
    x = 188,748,099.57/9,103.38
  6. Step 6: Final answer
    x = 20,733.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.