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Finding the Third Proportional to 44,261 and 67,682

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Solution

The third proportional to 44,261 and 67,682 is: 103,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,261 : 67,682 = 67,682 : x
  2. Step 2: Convert to fraction form
    44,261/67,682 = 67,682/x
  3. Step 3: Cross multiply
    44,261x = 67,682 × 67,682
  4. Step 4: Simplify right side
    44,261x = 4,580,853,124
  5. Step 5: Solve for x
    x = 4,580,853,124/44,261
  6. Step 6: Final answer
    x = 103,496.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.