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Finding the Third Proportional to 15,969 and 34,701

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Solution

The third proportional to 15,969 and 34,701 is: 75,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969 : 34,701 = 34,701 : x
  2. Step 2: Convert to fraction form
    15,969/34,701 = 34,701/x
  3. Step 3: Cross multiply
    15,969x = 34,701 × 34,701
  4. Step 4: Simplify right side
    15,969x = 1,204,159,401
  5. Step 5: Solve for x
    x = 1,204,159,401/15,969
  6. Step 6: Final answer
    x = 75,406.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.