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Finding the Third Proportional to 18,326 and 37,624

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Solution

The third proportional to 18,326 and 37,624 is: 77,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,326 : 37,624 = 37,624 : x
  2. Step 2: Convert to fraction form
    18,326/37,624 = 37,624/x
  3. Step 3: Cross multiply
    18,326x = 37,624 × 37,624
  4. Step 4: Simplify right side
    18,326x = 1,415,565,376
  5. Step 5: Solve for x
    x = 1,415,565,376/18,326
  6. Step 6: Final answer
    x = 77,243.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.