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Finding the Third Proportional to 24,912 and 52,131

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Solution

The third proportional to 24,912 and 52,131 is: 109,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 52,131 = 52,131 : x
  2. Step 2: Convert to fraction form
    24,912/52,131 = 52,131/x
  3. Step 3: Cross multiply
    24,912x = 52,131 × 52,131
  4. Step 4: Simplify right side
    24,912x = 2,717,641,161
  5. Step 5: Solve for x
    x = 2,717,641,161/24,912
  6. Step 6: Final answer
    x = 109,089.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.