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Finding the Third Proportional to 36,000 and 49,008

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Solution

The third proportional to 36,000 and 49,008 is: 66,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 49,008 = 49,008 : x
  2. Step 2: Convert to fraction form
    36,000/49,008 = 49,008/x
  3. Step 3: Cross multiply
    36,000x = 49,008 × 49,008
  4. Step 4: Simplify right side
    36,000x = 2,401,784,064
  5. Step 5: Solve for x
    x = 2,401,784,064/36,000
  6. Step 6: Final answer
    x = 66,716.22

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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.