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Finding the Third Proportional to 44,293 and 59,671

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Solution

The third proportional to 44,293 and 59,671 is: 80,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,293 : 59,671 = 59,671 : x
  2. Step 2: Convert to fraction form
    44,293/59,671 = 59,671/x
  3. Step 3: Cross multiply
    44,293x = 59,671 × 59,671
  4. Step 4: Simplify right side
    44,293x = 3,560,628,241
  5. Step 5: Solve for x
    x = 3,560,628,241/44,293
  6. Step 6: Final answer
    x = 80,388.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.