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Finding the Third Proportional to 13,872.94 and 30,340.69

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Solution

The third proportional to 13,872.94 and 30,340.69 is: 66,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.94 : 30,340.69 = 30,340.69 : x
  2. Step 2: Convert to fraction form
    13,872.94/30,340.69 = 30,340.69/x
  3. Step 3: Cross multiply
    13,872.94x = 30,340.69 × 30,340.69
  4. Step 4: Simplify right side
    13,872.94x = 920,557,317.97
  5. Step 5: Solve for x
    x = 920,557,317.97/13,872.94
  6. Step 6: Final answer
    x = 66,356.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.