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Finding the Third Proportional to 29,659.50 and 41,127

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Solution

The third proportional to 29,659.50 and 41,127 is: 57,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,659.50 : 41,127 = 41,127 : x
  2. Step 2: Convert to fraction form
    29,659.50/41,127 = 41,127/x
  3. Step 3: Cross multiply
    29,659.50x = 41,127 × 41,127
  4. Step 4: Simplify right side
    29,659.50x = 1,691,430,129
  5. Step 5: Solve for x
    x = 1,691,430,129/29,659.50
  6. Step 6: Final answer
    x = 57,028.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.