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Finding the Third Proportional to 4,229 and 4,933

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Solution

The third proportional to 4,229 and 4,933 is: 5,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229 : 4,933 = 4,933 : x
  2. Step 2: Convert to fraction form
    4,229/4,933 = 4,933/x
  3. Step 3: Cross multiply
    4,229x = 4,933 × 4,933
  4. Step 4: Simplify right side
    4,229x = 24,334,489
  5. Step 5: Solve for x
    x = 24,334,489/4,229
  6. Step 6: Final answer
    x = 5,754.19

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.