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Finding the Third Proportional to 23,711 and 51,098

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Solution

The third proportional to 23,711 and 51,098 is: 110,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711 : 51,098 = 51,098 : x
  2. Step 2: Convert to fraction form
    23,711/51,098 = 51,098/x
  3. Step 3: Cross multiply
    23,711x = 51,098 × 51,098
  4. Step 4: Simplify right side
    23,711x = 2,611,005,604
  5. Step 5: Solve for x
    x = 2,611,005,604/23,711
  6. Step 6: Final answer
    x = 110,117.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.