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Finding the Third Proportional to 6,902.44 and 10,763.72

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Solution

The third proportional to 6,902.44 and 10,763.72 is: 16,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.44 : 10,763.72 = 10,763.72 : x
  2. Step 2: Convert to fraction form
    6,902.44/10,763.72 = 10,763.72/x
  3. Step 3: Cross multiply
    6,902.44x = 10,763.72 × 10,763.72
  4. Step 4: Simplify right side
    6,902.44x = 115,857,641.33
  5. Step 5: Solve for x
    x = 115,857,641.33/6,902.44
  6. Step 6: Final answer
    x = 16,785.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.