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Finding the Third Proportional to 16,770 and 36,456

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Solution

The third proportional to 16,770 and 36,456 is: 79,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770 : 36,456 = 36,456 : x
  2. Step 2: Convert to fraction form
    16,770/36,456 = 36,456/x
  3. Step 3: Cross multiply
    16,770x = 36,456 × 36,456
  4. Step 4: Simplify right side
    16,770x = 1,329,039,936
  5. Step 5: Solve for x
    x = 1,329,039,936/16,770
  6. Step 6: Final answer
    x = 79,251.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.