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Finding the Third Proportional to 29,544 and 39,805

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Solution

The third proportional to 29,544 and 39,805 is: 53,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544 : 39,805 = 39,805 : x
  2. Step 2: Convert to fraction form
    29,544/39,805 = 39,805/x
  3. Step 3: Cross multiply
    29,544x = 39,805 × 39,805
  4. Step 4: Simplify right side
    29,544x = 1,584,438,025
  5. Step 5: Solve for x
    x = 1,584,438,025/29,544
  6. Step 6: Final answer
    x = 53,629.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.