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Finding the Third Proportional to 10,344 and 24,357

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Solution

The third proportional to 10,344 and 24,357 is: 57,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344 : 24,357 = 24,357 : x
  2. Step 2: Convert to fraction form
    10,344/24,357 = 24,357/x
  3. Step 3: Cross multiply
    10,344x = 24,357 × 24,357
  4. Step 4: Simplify right side
    10,344x = 593,263,449
  5. Step 5: Solve for x
    x = 593,263,449/10,344
  6. Step 6: Final answer
    x = 57,353.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.