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Finding the Third Proportional to 19,142 and 39,926

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Solution

The third proportional to 19,142 and 39,926 is: 83,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142 : 39,926 = 39,926 : x
  2. Step 2: Convert to fraction form
    19,142/39,926 = 39,926/x
  3. Step 3: Cross multiply
    19,142x = 39,926 × 39,926
  4. Step 4: Simplify right side
    19,142x = 1,594,085,476
  5. Step 5: Solve for x
    x = 1,594,085,476/19,142
  6. Step 6: Final answer
    x = 83,276.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.