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Finding the Third Proportional to 13,645.97 and 28,458.84

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Solution

The third proportional to 13,645.97 and 28,458.84 is: 59,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.97 : 28,458.84 = 28,458.84 : x
  2. Step 2: Convert to fraction form
    13,645.97/28,458.84 = 28,458.84/x
  3. Step 3: Cross multiply
    13,645.97x = 28,458.84 × 28,458.84
  4. Step 4: Simplify right side
    13,645.97x = 809,905,787.59
  5. Step 5: Solve for x
    x = 809,905,787.59/13,645.97
  6. Step 6: Final answer
    x = 59,351.29

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.