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Finding the Third Proportional to 36,315 and 50,008

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Solution

The third proportional to 36,315 and 50,008 is: 68,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,315 : 50,008 = 50,008 : x
  2. Step 2: Convert to fraction form
    36,315/50,008 = 50,008/x
  3. Step 3: Cross multiply
    36,315x = 50,008 × 50,008
  4. Step 4: Simplify right side
    36,315x = 2,500,800,064
  5. Step 5: Solve for x
    x = 2,500,800,064/36,315
  6. Step 6: Final answer
    x = 68,864.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.