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Finding the Third Proportional to 36,742 and 57,033

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Solution

The third proportional to 36,742 and 57,033 is: 88,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,742 : 57,033 = 57,033 : x
  2. Step 2: Convert to fraction form
    36,742/57,033 = 57,033/x
  3. Step 3: Cross multiply
    36,742x = 57,033 × 57,033
  4. Step 4: Simplify right side
    36,742x = 3,252,763,089
  5. Step 5: Solve for x
    x = 3,252,763,089/36,742
  6. Step 6: Final answer
    x = 88,529.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.