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Finding the Third Proportional to 15,996 and 34,906

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Solution

The third proportional to 15,996 and 34,906 is: 76,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996 : 34,906 = 34,906 : x
  2. Step 2: Convert to fraction form
    15,996/34,906 = 34,906/x
  3. Step 3: Cross multiply
    15,996x = 34,906 × 34,906
  4. Step 4: Simplify right side
    15,996x = 1,218,428,836
  5. Step 5: Solve for x
    x = 1,218,428,836/15,996
  6. Step 6: Final answer
    x = 76,170.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.