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Finding the Third Proportional to 10,714 and 23,211

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Solution

The third proportional to 10,714 and 23,211 is: 50,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714 : 23,211 = 23,211 : x
  2. Step 2: Convert to fraction form
    10,714/23,211 = 23,211/x
  3. Step 3: Cross multiply
    10,714x = 23,211 × 23,211
  4. Step 4: Simplify right side
    10,714x = 538,750,521
  5. Step 5: Solve for x
    x = 538,750,521/10,714
  6. Step 6: Final answer
    x = 50,284.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.