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Finding the Third Proportional to 43,288 and 57,884

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Solution

The third proportional to 43,288 and 57,884 is: 77,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,288 : 57,884 = 57,884 : x
  2. Step 2: Convert to fraction form
    43,288/57,884 = 57,884/x
  3. Step 3: Cross multiply
    43,288x = 57,884 × 57,884
  4. Step 4: Simplify right side
    43,288x = 3,350,557,456
  5. Step 5: Solve for x
    x = 3,350,557,456/43,288
  6. Step 6: Final answer
    x = 77,401.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.