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Finding the Third Proportional to 29,118 and 41,207.75

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Solution

The third proportional to 29,118 and 41,207.75 is: 58,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,118 : 41,207.75 = 41,207.75 : x
  2. Step 2: Convert to fraction form
    29,118/41,207.75 = 41,207.75/x
  3. Step 3: Cross multiply
    29,118x = 41,207.75 × 41,207.75
  4. Step 4: Simplify right side
    29,118x = 1,698,078,660.06
  5. Step 5: Solve for x
    x = 1,698,078,660.06/29,118
  6. Step 6: Final answer
    x = 58,317.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.