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Finding the Third Proportional to 24,714 and 51,476

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Solution

The third proportional to 24,714 and 51,476 is: 107,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714 : 51,476 = 51,476 : x
  2. Step 2: Convert to fraction form
    24,714/51,476 = 51,476/x
  3. Step 3: Cross multiply
    24,714x = 51,476 × 51,476
  4. Step 4: Simplify right side
    24,714x = 2,649,778,576
  5. Step 5: Solve for x
    x = 2,649,778,576/24,714
  6. Step 6: Final answer
    x = 107,217.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.