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Finding the Third Proportional to 23,374 and 50,711

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Solution

The third proportional to 23,374 and 50,711 is: 110,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374 : 50,711 = 50,711 : x
  2. Step 2: Convert to fraction form
    23,374/50,711 = 50,711/x
  3. Step 3: Cross multiply
    23,374x = 50,711 × 50,711
  4. Step 4: Simplify right side
    23,374x = 2,571,605,521
  5. Step 5: Solve for x
    x = 2,571,605,521/23,374
  6. Step 6: Final answer
    x = 110,019.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.