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Finding the Third Proportional to 23,196 and 50,531

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Solution

The third proportional to 23,196 and 50,531 is: 110,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196 : 50,531 = 50,531 : x
  2. Step 2: Convert to fraction form
    23,196/50,531 = 50,531/x
  3. Step 3: Cross multiply
    23,196x = 50,531 × 50,531
  4. Step 4: Simplify right side
    23,196x = 2,553,381,961
  5. Step 5: Solve for x
    x = 2,553,381,961/23,196
  6. Step 6: Final answer
    x = 110,078.55

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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.