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Finding the Third Proportional to 36,550 and 75,973

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Solution

The third proportional to 36,550 and 75,973 is: 157,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,550 : 75,973 = 75,973 : x
  2. Step 2: Convert to fraction form
    36,550/75,973 = 75,973/x
  3. Step 3: Cross multiply
    36,550x = 75,973 × 75,973
  4. Step 4: Simplify right side
    36,550x = 5,771,896,729
  5. Step 5: Solve for x
    x = 5,771,896,729/36,550
  6. Step 6: Final answer
    x = 157,917.83

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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.