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Finding the Third Proportional to 6,091.03 and 9,690.89

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Solution

The third proportional to 6,091.03 and 9,690.89 is: 15,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.03 : 9,690.89 = 9,690.89 : x
  2. Step 2: Convert to fraction form
    6,091.03/9,690.89 = 9,690.89/x
  3. Step 3: Cross multiply
    6,091.03x = 9,690.89 × 9,690.89
  4. Step 4: Simplify right side
    6,091.03x = 93,913,361.11
  5. Step 5: Solve for x
    x = 93,913,361.11/6,091.03
  6. Step 6: Final answer
    x = 15,418.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.