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Finding the Third Proportional to 12,578 and 24,834

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Solution

The third proportional to 12,578 and 24,834 is: 49,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 24,834 = 24,834 : x
  2. Step 2: Convert to fraction form
    12,578/24,834 = 24,834/x
  3. Step 3: Cross multiply
    12,578x = 24,834 × 24,834
  4. Step 4: Simplify right side
    12,578x = 616,727,556
  5. Step 5: Solve for x
    x = 616,727,556/12,578
  6. Step 6: Final answer
    x = 49,032.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.