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Finding the Third Proportional to 9,120.09 and 13,745.95

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Solution

The third proportional to 9,120.09 and 13,745.95 is: 20,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.09 : 13,745.95 = 13,745.95 : x
  2. Step 2: Convert to fraction form
    9,120.09/13,745.95 = 13,745.95/x
  3. Step 3: Cross multiply
    9,120.09x = 13,745.95 × 13,745.95
  4. Step 4: Simplify right side
    9,120.09x = 188,951,227.31
  5. Step 5: Solve for x
    x = 188,951,227.31/9,120.09
  6. Step 6: Final answer
    x = 20,718.12

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Why These Related Problems?

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