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Finding the Third Proportional to 3,321.38 and 4,917.94

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Solution

The third proportional to 3,321.38 and 4,917.94 is: 7,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.38 : 4,917.94 = 4,917.94 : x
  2. Step 2: Convert to fraction form
    3,321.38/4,917.94 = 4,917.94/x
  3. Step 3: Cross multiply
    3,321.38x = 4,917.94 × 4,917.94
  4. Step 4: Simplify right side
    3,321.38x = 24,186,109.25
  5. Step 5: Solve for x
    x = 24,186,109.25/3,321.38
  6. Step 6: Final answer
    x = 7,281.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.