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Finding the Third Proportional to 29,401 and 69,392

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Solution

The third proportional to 29,401 and 69,392 is: 163,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,401 : 69,392 = 69,392 : x
  2. Step 2: Convert to fraction form
    29,401/69,392 = 69,392/x
  3. Step 3: Cross multiply
    29,401x = 69,392 × 69,392
  4. Step 4: Simplify right side
    29,401x = 4,815,249,664
  5. Step 5: Solve for x
    x = 4,815,249,664/29,401
  6. Step 6: Final answer
    x = 163,778.43

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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.