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Finding the Third Proportional to 19,419 and 41,133

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Solution

The third proportional to 19,419 and 41,133 is: 87,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419 : 41,133 = 41,133 : x
  2. Step 2: Convert to fraction form
    19,419/41,133 = 41,133/x
  3. Step 3: Cross multiply
    19,419x = 41,133 × 41,133
  4. Step 4: Simplify right side
    19,419x = 1,691,923,689
  5. Step 5: Solve for x
    x = 1,691,923,689/19,419
  6. Step 6: Final answer
    x = 87,127.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.