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Finding the Third Proportional to 8,103 and 19,078

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Solution

The third proportional to 8,103 and 19,078 is: 44,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 19,078 = 19,078 : x
  2. Step 2: Convert to fraction form
    8,103/19,078 = 19,078/x
  3. Step 3: Cross multiply
    8,103x = 19,078 × 19,078
  4. Step 4: Simplify right side
    8,103x = 363,970,084
  5. Step 5: Solve for x
    x = 363,970,084/8,103
  6. Step 6: Final answer
    x = 44,917.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.