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Finding the Third Proportional to 40,326 and 60,529

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Solution

The third proportional to 40,326 and 60,529 is: 90,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,326 : 60,529 = 60,529 : x
  2. Step 2: Convert to fraction form
    40,326/60,529 = 60,529/x
  3. Step 3: Cross multiply
    40,326x = 60,529 × 60,529
  4. Step 4: Simplify right side
    40,326x = 3,663,759,841
  5. Step 5: Solve for x
    x = 3,663,759,841/40,326
  6. Step 6: Final answer
    x = 90,853.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.