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Finding the Third Proportional to 47,288 and 69,997

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Solution

The third proportional to 47,288 and 69,997 is: 103,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,288 : 69,997 = 69,997 : x
  2. Step 2: Convert to fraction form
    47,288/69,997 = 69,997/x
  3. Step 3: Cross multiply
    47,288x = 69,997 × 69,997
  4. Step 4: Simplify right side
    47,288x = 4,899,580,009
  5. Step 5: Solve for x
    x = 4,899,580,009/47,288
  6. Step 6: Final answer
    x = 103,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.