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Finding the Third Proportional to 2,970 and 3,933

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Solution

The third proportional to 2,970 and 3,933 is: 5,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970 : 3,933 = 3,933 : x
  2. Step 2: Convert to fraction form
    2,970/3,933 = 3,933/x
  3. Step 3: Cross multiply
    2,970x = 3,933 × 3,933
  4. Step 4: Simplify right side
    2,970x = 15,468,489
  5. Step 5: Solve for x
    x = 15,468,489/2,970
  6. Step 6: Final answer
    x = 5,208.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.