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Finding the Third Proportional to 40,501 and 57,009

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Solution

The third proportional to 40,501 and 57,009 is: 80,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,501 : 57,009 = 57,009 : x
  2. Step 2: Convert to fraction form
    40,501/57,009 = 57,009/x
  3. Step 3: Cross multiply
    40,501x = 57,009 × 57,009
  4. Step 4: Simplify right side
    40,501x = 3,250,026,081
  5. Step 5: Solve for x
    x = 3,250,026,081/40,501
  6. Step 6: Final answer
    x = 80,245.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.