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Finding the Third Proportional to 36,540 and 47,997

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Solution

The third proportional to 36,540 and 47,997 is: 63,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 47,997 = 47,997 : x
  2. Step 2: Convert to fraction form
    36,540/47,997 = 47,997/x
  3. Step 3: Cross multiply
    36,540x = 47,997 × 47,997
  4. Step 4: Simplify right side
    36,540x = 2,303,712,009
  5. Step 5: Solve for x
    x = 2,303,712,009/36,540
  6. Step 6: Final answer
    x = 63,046.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.