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Finding the Third Proportional to 6,919.78 and 10,744.03

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Solution

The third proportional to 6,919.78 and 10,744.03 is: 16,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.78 : 10,744.03 = 10,744.03 : x
  2. Step 2: Convert to fraction form
    6,919.78/10,744.03 = 10,744.03/x
  3. Step 3: Cross multiply
    6,919.78x = 10,744.03 × 10,744.03
  4. Step 4: Simplify right side
    6,919.78x = 115,434,207.50
  5. Step 5: Solve for x
    x = 115,434,207.50/6,919.78
  6. Step 6: Final answer
    x = 16,681.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.