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Finding the Third Proportional to 29,667 and 64,671

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Solution

The third proportional to 29,667 and 64,671 is: 140,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667 : 64,671 = 64,671 : x
  2. Step 2: Convert to fraction form
    29,667/64,671 = 64,671/x
  3. Step 3: Cross multiply
    29,667x = 64,671 × 64,671
  4. Step 4: Simplify right side
    29,667x = 4,182,338,241
  5. Step 5: Solve for x
    x = 4,182,338,241/29,667
  6. Step 6: Final answer
    x = 140,976.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.