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Finding the Third Proportional to 10,229 and 15,199

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Solution

The third proportional to 10,229 and 15,199 is: 22,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229 : 15,199 = 15,199 : x
  2. Step 2: Convert to fraction form
    10,229/15,199 = 15,199/x
  3. Step 3: Cross multiply
    10,229x = 15,199 × 15,199
  4. Step 4: Simplify right side
    10,229x = 231,009,601
  5. Step 5: Solve for x
    x = 231,009,601/10,229
  6. Step 6: Final answer
    x = 22,583.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.