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Finding the Third Proportional to 36,005.77 and 75,736.27

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Solution

The third proportional to 36,005.77 and 75,736.27 is: 159,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,005.77 : 75,736.27 = 75,736.27 : x
  2. Step 2: Convert to fraction form
    36,005.77/75,736.27 = 75,736.27/x
  3. Step 3: Cross multiply
    36,005.77x = 75,736.27 × 75,736.27
  4. Step 4: Simplify right side
    36,005.77x = 5,735,981,930.82
  5. Step 5: Solve for x
    x = 5,735,981,930.82/36,005.77
  6. Step 6: Final answer
    x = 159,307.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.