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Finding the Third Proportional to 6,769.83 and 11,210.27

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Solution

The third proportional to 6,769.83 and 11,210.27 is: 18,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.83 : 11,210.27 = 11,210.27 : x
  2. Step 2: Convert to fraction form
    6,769.83/11,210.27 = 11,210.27/x
  3. Step 3: Cross multiply
    6,769.83x = 11,210.27 × 11,210.27
  4. Step 4: Simplify right side
    6,769.83x = 125,670,230.54
  5. Step 5: Solve for x
    x = 125,670,230.54/6,769.83
  6. Step 6: Final answer
    x = 18,563.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.