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Finding the Third Proportional to 15,996 and 23,997

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Solution

The third proportional to 15,996 and 23,997 is: 36,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996 : 23,997 = 23,997 : x
  2. Step 2: Convert to fraction form
    15,996/23,997 = 23,997/x
  3. Step 3: Cross multiply
    15,996x = 23,997 × 23,997
  4. Step 4: Simplify right side
    15,996x = 575,856,009
  5. Step 5: Solve for x
    x = 575,856,009/15,996
  6. Step 6: Final answer
    x = 36,000.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.