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Finding the Third Proportional to 29,533 and 62,401

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Solution

The third proportional to 29,533 and 62,401 is: 131,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533 : 62,401 = 62,401 : x
  2. Step 2: Convert to fraction form
    29,533/62,401 = 62,401/x
  3. Step 3: Cross multiply
    29,533x = 62,401 × 62,401
  4. Step 4: Simplify right side
    29,533x = 3,893,884,801
  5. Step 5: Solve for x
    x = 3,893,884,801/29,533
  6. Step 6: Final answer
    x = 131,848.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.