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Finding the Third Proportional to 35,667 and 84,348

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Solution

The third proportional to 35,667 and 84,348 is: 199,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667 : 84,348 = 84,348 : x
  2. Step 2: Convert to fraction form
    35,667/84,348 = 84,348/x
  3. Step 3: Cross multiply
    35,667x = 84,348 × 84,348
  4. Step 4: Simplify right side
    35,667x = 7,114,585,104
  5. Step 5: Solve for x
    x = 7,114,585,104/35,667
  6. Step 6: Final answer
    x = 199,472.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.