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Finding the Third Proportional to 6,784.88 and 10,769.34

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Solution

The third proportional to 6,784.88 and 10,769.34 is: 17,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.88 : 10,769.34 = 10,769.34 : x
  2. Step 2: Convert to fraction form
    6,784.88/10,769.34 = 10,769.34/x
  3. Step 3: Cross multiply
    6,784.88x = 10,769.34 × 10,769.34
  4. Step 4: Simplify right side
    6,784.88x = 115,978,764.81
  5. Step 5: Solve for x
    x = 115,978,764.81/6,784.88
  6. Step 6: Final answer
    x = 17,093.72

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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.