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Finding the Third Proportional to 15,722 and 34,266

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Solution

The third proportional to 15,722 and 34,266 is: 74,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 34,266 = 34,266 : x
  2. Step 2: Convert to fraction form
    15,722/34,266 = 34,266/x
  3. Step 3: Cross multiply
    15,722x = 34,266 × 34,266
  4. Step 4: Simplify right side
    15,722x = 1,174,158,756
  5. Step 5: Solve for x
    x = 1,174,158,756/15,722
  6. Step 6: Final answer
    x = 74,682.53

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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.