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Finding the Third Proportional to 6,906 and 15,996

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Solution

The third proportional to 6,906 and 15,996 is: 37,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906 : 15,996 = 15,996 : x
  2. Step 2: Convert to fraction form
    6,906/15,996 = 15,996/x
  3. Step 3: Cross multiply
    6,906x = 15,996 × 15,996
  4. Step 4: Simplify right side
    6,906x = 255,872,016
  5. Step 5: Solve for x
    x = 255,872,016/6,906
  6. Step 6: Final answer
    x = 37,050.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.