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Finding the Third Proportional to 40,391 and 61,997

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Solution

The third proportional to 40,391 and 61,997 is: 95,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,391 : 61,997 = 61,997 : x
  2. Step 2: Convert to fraction form
    40,391/61,997 = 61,997/x
  3. Step 3: Cross multiply
    40,391x = 61,997 × 61,997
  4. Step 4: Simplify right side
    40,391x = 3,843,628,009
  5. Step 5: Solve for x
    x = 3,843,628,009/40,391
  6. Step 6: Final answer
    x = 95,160.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.