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Finding the Third Proportional to 5,993.16 and 9,072.84

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Solution

The third proportional to 5,993.16 and 9,072.84 is: 13,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.16 : 9,072.84 = 9,072.84 : x
  2. Step 2: Convert to fraction form
    5,993.16/9,072.84 = 9,072.84/x
  3. Step 3: Cross multiply
    5,993.16x = 9,072.84 × 9,072.84
  4. Step 4: Simplify right side
    5,993.16x = 82,316,493.71
  5. Step 5: Solve for x
    x = 82,316,493.71/5,993.16
  6. Step 6: Final answer
    x = 13,735.08

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