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Finding the Third Proportional to 36,417 and 49,201

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Solution

The third proportional to 36,417 and 49,201 is: 66,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417 : 49,201 = 49,201 : x
  2. Step 2: Convert to fraction form
    36,417/49,201 = 49,201/x
  3. Step 3: Cross multiply
    36,417x = 49,201 × 49,201
  4. Step 4: Simplify right side
    36,417x = 2,420,738,401
  5. Step 5: Solve for x
    x = 2,420,738,401/36,417
  6. Step 6: Final answer
    x = 66,472.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.