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Finding the Third Proportional to 10,906.31 and 17,297.72

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Solution

The third proportional to 10,906.31 and 17,297.72 is: 27,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.31 : 17,297.72 = 17,297.72 : x
  2. Step 2: Convert to fraction form
    10,906.31/17,297.72 = 17,297.72/x
  3. Step 3: Cross multiply
    10,906.31x = 17,297.72 × 17,297.72
  4. Step 4: Simplify right side
    10,906.31x = 299,211,073.95
  5. Step 5: Solve for x
    x = 299,211,073.95/10,906.31
  6. Step 6: Final answer
    x = 27,434.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.