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Finding the Third Proportional to 31,994 and 47,997

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Solution

The third proportional to 31,994 and 47,997 is: 72,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994 : 47,997 = 47,997 : x
  2. Step 2: Convert to fraction form
    31,994/47,997 = 47,997/x
  3. Step 3: Cross multiply
    31,994x = 47,997 × 47,997
  4. Step 4: Simplify right side
    31,994x = 2,303,712,009
  5. Step 5: Solve for x
    x = 2,303,712,009/31,994
  6. Step 6: Final answer
    x = 72,004.50

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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.