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Finding the Third Proportional to 20,456 and 49,265

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Solution

The third proportional to 20,456 and 49,265 is: 118,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456 : 49,265 = 49,265 : x
  2. Step 2: Convert to fraction form
    20,456/49,265 = 49,265/x
  3. Step 3: Cross multiply
    20,456x = 49,265 × 49,265
  4. Step 4: Simplify right side
    20,456x = 2,427,040,225
  5. Step 5: Solve for x
    x = 2,427,040,225/20,456
  6. Step 6: Final answer
    x = 118,646.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.