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Finding the Third Proportional to 10,349 and 15,857

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Solution

The third proportional to 10,349 and 15,857 is: 24,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349 : 15,857 = 15,857 : x
  2. Step 2: Convert to fraction form
    10,349/15,857 = 15,857/x
  3. Step 3: Cross multiply
    10,349x = 15,857 × 15,857
  4. Step 4: Simplify right side
    10,349x = 251,444,449
  5. Step 5: Solve for x
    x = 251,444,449/10,349
  6. Step 6: Final answer
    x = 24,296.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.