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Finding the Third Proportional to 26,671 and 41,283

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Solution

The third proportional to 26,671 and 41,283 is: 63,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,671 : 41,283 = 41,283 : x
  2. Step 2: Convert to fraction form
    26,671/41,283 = 41,283/x
  3. Step 3: Cross multiply
    26,671x = 41,283 × 41,283
  4. Step 4: Simplify right side
    26,671x = 1,704,286,089
  5. Step 5: Solve for x
    x = 1,704,286,089/26,671
  6. Step 6: Final answer
    x = 63,900.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.