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Finding the Third Proportional to 17,784 and 36,036

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Solution

The third proportional to 17,784 and 36,036 is: 73,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 36,036 = 36,036 : x
  2. Step 2: Convert to fraction form
    17,784/36,036 = 36,036/x
  3. Step 3: Cross multiply
    17,784x = 36,036 × 36,036
  4. Step 4: Simplify right side
    17,784x = 1,298,593,296
  5. Step 5: Solve for x
    x = 1,298,593,296/17,784
  6. Step 6: Final answer
    x = 73,020.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.