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Finding the Third Proportional to 23,714 and 34,347

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Solution

The third proportional to 23,714 and 34,347 is: 49,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714 : 34,347 = 34,347 : x
  2. Step 2: Convert to fraction form
    23,714/34,347 = 34,347/x
  3. Step 3: Cross multiply
    23,714x = 34,347 × 34,347
  4. Step 4: Simplify right side
    23,714x = 1,179,716,409
  5. Step 5: Solve for x
    x = 1,179,716,409/23,714
  6. Step 6: Final answer
    x = 49,747.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.