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Finding the Third Proportional to 29,817 and 41,789.25

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Solution

The third proportional to 29,817 and 41,789.25 is: 58,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 41,789.25 = 41,789.25 : x
  2. Step 2: Convert to fraction form
    29,817/41,789.25 = 41,789.25/x
  3. Step 3: Cross multiply
    29,817x = 41,789.25 × 41,789.25
  4. Step 4: Simplify right side
    29,817x = 1,746,341,415.56
  5. Step 5: Solve for x
    x = 1,746,341,415.56/29,817
  6. Step 6: Final answer
    x = 58,568.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.