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Finding the Third Proportional to 18,834 and 37,202.25

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Solution

The third proportional to 18,834 and 37,202.25 is: 73,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,834 : 37,202.25 = 37,202.25 : x
  2. Step 2: Convert to fraction form
    18,834/37,202.25 = 37,202.25/x
  3. Step 3: Cross multiply
    18,834x = 37,202.25 × 37,202.25
  4. Step 4: Simplify right side
    18,834x = 1,384,007,405.06
  5. Step 5: Solve for x
    x = 1,384,007,405.06/18,834
  6. Step 6: Final answer
    x = 73,484.52

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.