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Finding the Third Proportional to 10,425 and 13,599

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Solution

The third proportional to 10,425 and 13,599 is: 17,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 13,599 = 13,599 : x
  2. Step 2: Convert to fraction form
    10,425/13,599 = 13,599/x
  3. Step 3: Cross multiply
    10,425x = 13,599 × 13,599
  4. Step 4: Simplify right side
    10,425x = 184,932,801
  5. Step 5: Solve for x
    x = 184,932,801/10,425
  6. Step 6: Final answer
    x = 17,739.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.