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Finding the Third Proportional to 24,619 and 34,837

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Solution

The third proportional to 24,619 and 34,837 is: 49,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619 : 34,837 = 34,837 : x
  2. Step 2: Convert to fraction form
    24,619/34,837 = 34,837/x
  3. Step 3: Cross multiply
    24,619x = 34,837 × 34,837
  4. Step 4: Simplify right side
    24,619x = 1,213,616,569
  5. Step 5: Solve for x
    x = 1,213,616,569/24,619
  6. Step 6: Final answer
    x = 49,295.93

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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.