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Finding the Third Proportional to 22,671 and 34,026

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Solution

The third proportional to 22,671 and 34,026 is: 51,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671 : 34,026 = 34,026 : x
  2. Step 2: Convert to fraction form
    22,671/34,026 = 34,026/x
  3. Step 3: Cross multiply
    22,671x = 34,026 × 34,026
  4. Step 4: Simplify right side
    22,671x = 1,157,768,676
  5. Step 5: Solve for x
    x = 1,157,768,676/22,671
  6. Step 6: Final answer
    x = 51,068.27

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