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Finding the Third Proportional to 29,771 and 65,494

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Solution

The third proportional to 29,771 and 65,494 is: 144,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771 : 65,494 = 65,494 : x
  2. Step 2: Convert to fraction form
    29,771/65,494 = 65,494/x
  3. Step 3: Cross multiply
    29,771x = 65,494 × 65,494
  4. Step 4: Simplify right side
    29,771x = 4,289,464,036
  5. Step 5: Solve for x
    x = 4,289,464,036/29,771
  6. Step 6: Final answer
    x = 144,081.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.