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Finding the Third Proportional to 19,438 and 40,256

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Solution

The third proportional to 19,438 and 40,256 is: 83,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438 : 40,256 = 40,256 : x
  2. Step 2: Convert to fraction form
    19,438/40,256 = 40,256/x
  3. Step 3: Cross multiply
    19,438x = 40,256 × 40,256
  4. Step 4: Simplify right side
    19,438x = 1,620,545,536
  5. Step 5: Solve for x
    x = 1,620,545,536/19,438
  6. Step 6: Final answer
    x = 83,369.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.