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Finding the Third Proportional to 15,601 and 34,077

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Solution

The third proportional to 15,601 and 34,077 is: 74,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601 : 34,077 = 34,077 : x
  2. Step 2: Convert to fraction form
    15,601/34,077 = 34,077/x
  3. Step 3: Cross multiply
    15,601x = 34,077 × 34,077
  4. Step 4: Simplify right side
    15,601x = 1,161,241,929
  5. Step 5: Solve for x
    x = 1,161,241,929/15,601
  6. Step 6: Final answer
    x = 74,433.81

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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.