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Finding the Third Proportional to 6,338.25 and 14,672.71

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Solution

The third proportional to 6,338.25 and 14,672.71 is: 33,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.25 : 14,672.71 = 14,672.71 : x
  2. Step 2: Convert to fraction form
    6,338.25/14,672.71 = 14,672.71/x
  3. Step 3: Cross multiply
    6,338.25x = 14,672.71 × 14,672.71
  4. Step 4: Simplify right side
    6,338.25x = 215,288,331.62
  5. Step 5: Solve for x
    x = 215,288,331.62/6,338.25
  6. Step 6: Final answer
    x = 33,966.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.