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Finding the Third Proportional to 21,181 and 49,246

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Solution

The third proportional to 21,181 and 49,246 is: 114,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181 : 49,246 = 49,246 : x
  2. Step 2: Convert to fraction form
    21,181/49,246 = 49,246/x
  3. Step 3: Cross multiply
    21,181x = 49,246 × 49,246
  4. Step 4: Simplify right side
    21,181x = 2,425,168,516
  5. Step 5: Solve for x
    x = 2,425,168,516/21,181
  6. Step 6: Final answer
    x = 114,497.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.