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Finding the Third Proportional to 6,902.09 and 10,946.83

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Solution

The third proportional to 6,902.09 and 10,946.83 is: 17,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.09 : 10,946.83 = 10,946.83 : x
  2. Step 2: Convert to fraction form
    6,902.09/10,946.83 = 10,946.83/x
  3. Step 3: Cross multiply
    6,902.09x = 10,946.83 × 10,946.83
  4. Step 4: Simplify right side
    6,902.09x = 119,832,992.55
  5. Step 5: Solve for x
    x = 119,832,992.55/6,902.09
  6. Step 6: Final answer
    x = 17,361.85

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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.