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Finding the Third Proportional to 19,629 and 31,599

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Solution

The third proportional to 19,629 and 31,599 is: 50,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629 : 31,599 = 31,599 : x
  2. Step 2: Convert to fraction form
    19,629/31,599 = 31,599/x
  3. Step 3: Cross multiply
    19,629x = 31,599 × 31,599
  4. Step 4: Simplify right side
    19,629x = 998,496,801
  5. Step 5: Solve for x
    x = 998,496,801/19,629
  6. Step 6: Final answer
    x = 50,868.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.