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Finding the Third Proportional to 6,652.31 and 11,086.78

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Solution

The third proportional to 6,652.31 and 11,086.78 is: 18,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.31 : 11,086.78 = 11,086.78 : x
  2. Step 2: Convert to fraction form
    6,652.31/11,086.78 = 11,086.78/x
  3. Step 3: Cross multiply
    6,652.31x = 11,086.78 × 11,086.78
  4. Step 4: Simplify right side
    6,652.31x = 122,916,718.49
  5. Step 5: Solve for x
    x = 122,916,718.49/6,652.31
  6. Step 6: Final answer
    x = 18,477.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.