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Finding the Third Proportional to 6,333.44 and 14,123.19

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Solution

The third proportional to 6,333.44 and 14,123.19 is: 31,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.44 : 14,123.19 = 14,123.19 : x
  2. Step 2: Convert to fraction form
    6,333.44/14,123.19 = 14,123.19/x
  3. Step 3: Cross multiply
    6,333.44x = 14,123.19 × 14,123.19
  4. Step 4: Simplify right side
    6,333.44x = 199,464,425.16
  5. Step 5: Solve for x
    x = 199,464,425.16/6,333.44
  6. Step 6: Final answer
    x = 31,493.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.