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Finding the Third Proportional to 40,634 and 59,367

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Solution

The third proportional to 40,634 and 59,367 is: 86,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,634 : 59,367 = 59,367 : x
  2. Step 2: Convert to fraction form
    40,634/59,367 = 59,367/x
  3. Step 3: Cross multiply
    40,634x = 59,367 × 59,367
  4. Step 4: Simplify right side
    40,634x = 3,524,440,689
  5. Step 5: Solve for x
    x = 3,524,440,689/40,634
  6. Step 6: Final answer
    x = 86,736.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.