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Finding the Third Proportional to 29,401 and 63,216

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Solution

The third proportional to 29,401 and 63,216 is: 135,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,401 : 63,216 = 63,216 : x
  2. Step 2: Convert to fraction form
    29,401/63,216 = 63,216/x
  3. Step 3: Cross multiply
    29,401x = 63,216 × 63,216
  4. Step 4: Simplify right side
    29,401x = 3,996,262,656
  5. Step 5: Solve for x
    x = 3,996,262,656/29,401
  6. Step 6: Final answer
    x = 135,922.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.