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Finding the Third Proportional to 29,471.34 and 41,659.31

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Solution

The third proportional to 29,471.34 and 41,659.31 is: 58,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.34 : 41,659.31 = 41,659.31 : x
  2. Step 2: Convert to fraction form
    29,471.34/41,659.31 = 41,659.31/x
  3. Step 3: Cross multiply
    29,471.34x = 41,659.31 × 41,659.31
  4. Step 4: Simplify right side
    29,471.34x = 1,735,498,317.97
  5. Step 5: Solve for x
    x = 1,735,498,317.97/29,471.34
  6. Step 6: Final answer
    x = 58,887.65

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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.