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Finding the Third Proportional to 36,002 and 49,011

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Solution

The third proportional to 36,002 and 49,011 is: 66,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002 : 49,011 = 49,011 : x
  2. Step 2: Convert to fraction form
    36,002/49,011 = 49,011/x
  3. Step 3: Cross multiply
    36,002x = 49,011 × 49,011
  4. Step 4: Simplify right side
    36,002x = 2,402,078,121
  5. Step 5: Solve for x
    x = 2,402,078,121/36,002
  6. Step 6: Final answer
    x = 66,720.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.