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Finding the Third Proportional to 19,027 and 40,478

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Solution

The third proportional to 19,027 and 40,478 is: 86,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027 : 40,478 = 40,478 : x
  2. Step 2: Convert to fraction form
    19,027/40,478 = 40,478/x
  3. Step 3: Cross multiply
    19,027x = 40,478 × 40,478
  4. Step 4: Simplify right side
    19,027x = 1,638,468,484
  5. Step 5: Solve for x
    x = 1,638,468,484/19,027
  6. Step 6: Final answer
    x = 86,112.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.