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Finding the Third Proportional to 23,878.50 and 52,131

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Solution

The third proportional to 23,878.50 and 52,131 is: 113,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.50 : 52,131 = 52,131 : x
  2. Step 2: Convert to fraction form
    23,878.50/52,131 = 52,131/x
  3. Step 3: Cross multiply
    23,878.50x = 52,131 × 52,131
  4. Step 4: Simplify right side
    23,878.50x = 2,717,641,161
  5. Step 5: Solve for x
    x = 2,717,641,161/23,878.50
  6. Step 6: Final answer
    x = 113,811.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.