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Finding the Third Proportional to 5,107 and 7,229

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Solution

The third proportional to 5,107 and 7,229 is: 10,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107 : 7,229 = 7,229 : x
  2. Step 2: Convert to fraction form
    5,107/7,229 = 7,229/x
  3. Step 3: Cross multiply
    5,107x = 7,229 × 7,229
  4. Step 4: Simplify right side
    5,107x = 52,258,441
  5. Step 5: Solve for x
    x = 52,258,441/5,107
  6. Step 6: Final answer
    x = 10,232.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.