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Finding the Third Proportional to 40,963 and 47,729

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Solution

The third proportional to 40,963 and 47,729 is: 55,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,963 : 47,729 = 47,729 : x
  2. Step 2: Convert to fraction form
    40,963/47,729 = 47,729/x
  3. Step 3: Cross multiply
    40,963x = 47,729 × 47,729
  4. Step 4: Simplify right side
    40,963x = 2,278,057,441
  5. Step 5: Solve for x
    x = 2,278,057,441/40,963
  6. Step 6: Final answer
    x = 55,612.56

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.