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Finding the Third Proportional to 43,084 and 64,367

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Solution

The third proportional to 43,084 and 64,367 is: 96,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,084 : 64,367 = 64,367 : x
  2. Step 2: Convert to fraction form
    43,084/64,367 = 64,367/x
  3. Step 3: Cross multiply
    43,084x = 64,367 × 64,367
  4. Step 4: Simplify right side
    43,084x = 4,143,110,689
  5. Step 5: Solve for x
    x = 4,143,110,689/43,084
  6. Step 6: Final answer
    x = 96,163.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.