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Finding the Third Proportional to 19,667 and 29,203

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Solution

The third proportional to 19,667 and 29,203 is: 43,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667 : 29,203 = 29,203 : x
  2. Step 2: Convert to fraction form
    19,667/29,203 = 29,203/x
  3. Step 3: Cross multiply
    19,667x = 29,203 × 29,203
  4. Step 4: Simplify right side
    19,667x = 852,815,209
  5. Step 5: Solve for x
    x = 852,815,209/19,667
  6. Step 6: Final answer
    x = 43,362.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.