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Finding the Third Proportional to 41,656 and 59,367

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Solution

The third proportional to 41,656 and 59,367 is: 84,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656 : 59,367 = 59,367 : x
  2. Step 2: Convert to fraction form
    41,656/59,367 = 59,367/x
  3. Step 3: Cross multiply
    41,656x = 59,367 × 59,367
  4. Step 4: Simplify right side
    41,656x = 3,524,440,689
  5. Step 5: Solve for x
    x = 3,524,440,689/41,656
  6. Step 6: Final answer
    x = 84,608.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.