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Finding the Third Proportional to 6,599 and 15,771

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Solution

The third proportional to 6,599 and 15,771 is: 37,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 15,771 = 15,771 : x
  2. Step 2: Convert to fraction form
    6,599/15,771 = 15,771/x
  3. Step 3: Cross multiply
    6,599x = 15,771 × 15,771
  4. Step 4: Simplify right side
    6,599x = 248,724,441
  5. Step 5: Solve for x
    x = 248,724,441/6,599
  6. Step 6: Final answer
    x = 37,691.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.