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Finding the Third Proportional to 36,018 and 75,690

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Solution

The third proportional to 36,018 and 75,690 is: 159,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,018 : 75,690 = 75,690 : x
  2. Step 2: Convert to fraction form
    36,018/75,690 = 75,690/x
  3. Step 3: Cross multiply
    36,018x = 75,690 × 75,690
  4. Step 4: Simplify right side
    36,018x = 5,728,976,100
  5. Step 5: Solve for x
    x = 5,728,976,100/36,018
  6. Step 6: Final answer
    x = 159,058.70

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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.