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Finding the Third Proportional to 16,624 and 36,020

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Solution

The third proportional to 16,624 and 36,020 is: 78,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624 : 36,020 = 36,020 : x
  2. Step 2: Convert to fraction form
    16,624/36,020 = 36,020/x
  3. Step 3: Cross multiply
    16,624x = 36,020 × 36,020
  4. Step 4: Simplify right side
    16,624x = 1,297,440,400
  5. Step 5: Solve for x
    x = 1,297,440,400/16,624
  6. Step 6: Final answer
    x = 78,046.22

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Why These Related Problems?

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