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Finding the Third Proportional to 33,461 and 49,267

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Solution

The third proportional to 33,461 and 49,267 is: 72,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461 : 49,267 = 49,267 : x
  2. Step 2: Convert to fraction form
    33,461/49,267 = 49,267/x
  3. Step 3: Cross multiply
    33,461x = 49,267 × 49,267
  4. Step 4: Simplify right side
    33,461x = 2,427,237,289
  5. Step 5: Solve for x
    x = 2,427,237,289/33,461
  6. Step 6: Final answer
    x = 72,539.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.