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Finding the Third Proportional to 36,585 and 75,944.25

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Solution

The third proportional to 36,585 and 75,944.25 is: 157,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 75,944.25 = 75,944.25 : x
  2. Step 2: Convert to fraction form
    36,585/75,944.25 = 75,944.25/x
  3. Step 3: Cross multiply
    36,585x = 75,944.25 × 75,944.25
  4. Step 4: Simplify right side
    36,585x = 5,767,529,108.06
  5. Step 5: Solve for x
    x = 5,767,529,108.06/36,585
  6. Step 6: Final answer
    x = 157,647.37

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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.