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Finding the Third Proportional to 24,348 and 51,834

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Solution

The third proportional to 24,348 and 51,834 is: 110,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348 : 51,834 = 51,834 : x
  2. Step 2: Convert to fraction form
    24,348/51,834 = 51,834/x
  3. Step 3: Cross multiply
    24,348x = 51,834 × 51,834
  4. Step 4: Simplify right side
    24,348x = 2,686,763,556
  5. Step 5: Solve for x
    x = 2,686,763,556/24,348
  6. Step 6: Final answer
    x = 110,348.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.