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Finding the Third Proportional to 36,061 and 77,447

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Solution

The third proportional to 36,061 and 77,447 is: 166,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,061 : 77,447 = 77,447 : x
  2. Step 2: Convert to fraction form
    36,061/77,447 = 77,447/x
  3. Step 3: Cross multiply
    36,061x = 77,447 × 77,447
  4. Step 4: Simplify right side
    36,061x = 5,998,037,809
  5. Step 5: Solve for x
    x = 5,998,037,809/36,061
  6. Step 6: Final answer
    x = 166,330.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.