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Finding the Third Proportional to 6,236.37 and 13,472.26

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Solution

The third proportional to 6,236.37 and 13,472.26 is: 29,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.37 : 13,472.26 = 13,472.26 : x
  2. Step 2: Convert to fraction form
    6,236.37/13,472.26 = 13,472.26/x
  3. Step 3: Cross multiply
    6,236.37x = 13,472.26 × 13,472.26
  4. Step 4: Simplify right side
    6,236.37x = 181,501,835.82
  5. Step 5: Solve for x
    x = 181,501,835.82/6,236.37
  6. Step 6: Final answer
    x = 29,103.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.