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Finding the Third Proportional to 9,078.33 and 13,340.56

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Solution

The third proportional to 9,078.33 and 13,340.56 is: 19,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.33 : 13,340.56 = 13,340.56 : x
  2. Step 2: Convert to fraction form
    9,078.33/13,340.56 = 13,340.56/x
  3. Step 3: Cross multiply
    9,078.33x = 13,340.56 × 13,340.56
  4. Step 4: Simplify right side
    9,078.33x = 177,970,477.54
  5. Step 5: Solve for x
    x = 177,970,477.54/9,078.33
  6. Step 6: Final answer
    x = 19,603.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.