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Finding the Third Proportional to 3,333.66 and 5,137.59

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Solution

The third proportional to 3,333.66 and 5,137.59 is: 7,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.66 : 5,137.59 = 5,137.59 : x
  2. Step 2: Convert to fraction form
    3,333.66/5,137.59 = 5,137.59/x
  3. Step 3: Cross multiply
    3,333.66x = 5,137.59 × 5,137.59
  4. Step 4: Simplify right side
    3,333.66x = 26,394,869.54
  5. Step 5: Solve for x
    x = 26,394,869.54/3,333.66
  6. Step 6: Final answer
    x = 7,917.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.