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Finding the Third Proportional to 18,838 and 37,202

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Solution

The third proportional to 18,838 and 37,202 is: 73,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,838 : 37,202 = 37,202 : x
  2. Step 2: Convert to fraction form
    18,838/37,202 = 37,202/x
  3. Step 3: Cross multiply
    18,838x = 37,202 × 37,202
  4. Step 4: Simplify right side
    18,838x = 1,383,988,804
  5. Step 5: Solve for x
    x = 1,383,988,804/18,838
  6. Step 6: Final answer
    x = 73,467.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.