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Finding the Third Proportional to 9,028.97 and 13,463.72

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Solution

The third proportional to 9,028.97 and 13,463.72 is: 20,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.97 : 13,463.72 = 13,463.72 : x
  2. Step 2: Convert to fraction form
    9,028.97/13,463.72 = 13,463.72/x
  3. Step 3: Cross multiply
    9,028.97x = 13,463.72 × 13,463.72
  4. Step 4: Simplify right side
    9,028.97x = 181,271,722.58
  5. Step 5: Solve for x
    x = 181,271,722.58/9,028.97
  6. Step 6: Final answer
    x = 20,076.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.