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Finding the Third Proportional to 10,509 and 18,696

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Solution

The third proportional to 10,509 and 18,696 is: 33,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 18,696 = 18,696 : x
  2. Step 2: Convert to fraction form
    10,509/18,696 = 18,696/x
  3. Step 3: Cross multiply
    10,509x = 18,696 × 18,696
  4. Step 4: Simplify right side
    10,509x = 349,540,416
  5. Step 5: Solve for x
    x = 349,540,416/10,509
  6. Step 6: Final answer
    x = 33,261.05

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.