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Finding the Third Proportional to 18,574 and 37,868

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Solution

The third proportional to 18,574 and 37,868 is: 77,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574 : 37,868 = 37,868 : x
  2. Step 2: Convert to fraction form
    18,574/37,868 = 37,868/x
  3. Step 3: Cross multiply
    18,574x = 37,868 × 37,868
  4. Step 4: Simplify right side
    18,574x = 1,433,985,424
  5. Step 5: Solve for x
    x = 1,433,985,424/18,574
  6. Step 6: Final answer
    x = 77,203.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.