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Finding the Third Proportional to 26,322 and 34,151

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Solution

The third proportional to 26,322 and 34,151 is: 44,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322 : 34,151 = 34,151 : x
  2. Step 2: Convert to fraction form
    26,322/34,151 = 34,151/x
  3. Step 3: Cross multiply
    26,322x = 34,151 × 34,151
  4. Step 4: Simplify right side
    26,322x = 1,166,290,801
  5. Step 5: Solve for x
    x = 1,166,290,801/26,322
  6. Step 6: Final answer
    x = 44,308.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.