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Finding the Third Proportional to 23,314 and 34,962

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Solution

The third proportional to 23,314 and 34,962 is: 52,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314 : 34,962 = 34,962 : x
  2. Step 2: Convert to fraction form
    23,314/34,962 = 34,962/x
  3. Step 3: Cross multiply
    23,314x = 34,962 × 34,962
  4. Step 4: Simplify right side
    23,314x = 1,222,341,444
  5. Step 5: Solve for x
    x = 1,222,341,444/23,314
  6. Step 6: Final answer
    x = 52,429.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.