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Finding the Third Proportional to 23,343 and 34,933

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Solution

The third proportional to 23,343 and 34,933 is: 52,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343 : 34,933 = 34,933 : x
  2. Step 2: Convert to fraction form
    23,343/34,933 = 34,933/x
  3. Step 3: Cross multiply
    23,343x = 34,933 × 34,933
  4. Step 4: Simplify right side
    23,343x = 1,220,314,489
  5. Step 5: Solve for x
    x = 1,220,314,489/23,343
  6. Step 6: Final answer
    x = 52,277.53

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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.