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Finding the Third Proportional to 36,008 and 74,782

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Solution

The third proportional to 36,008 and 74,782 is: 155,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008 : 74,782 = 74,782 : x
  2. Step 2: Convert to fraction form
    36,008/74,782 = 74,782/x
  3. Step 3: Cross multiply
    36,008x = 74,782 × 74,782
  4. Step 4: Simplify right side
    36,008x = 5,592,347,524
  5. Step 5: Solve for x
    x = 5,592,347,524/36,008
  6. Step 6: Final answer
    x = 155,308.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.