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Finding the Third Proportional to 26,374 and 56,872

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Solution

The third proportional to 26,374 and 56,872 is: 122,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,374 : 56,872 = 56,872 : x
  2. Step 2: Convert to fraction form
    26,374/56,872 = 56,872/x
  3. Step 3: Cross multiply
    26,374x = 56,872 × 56,872
  4. Step 4: Simplify right side
    26,374x = 3,234,424,384
  5. Step 5: Solve for x
    x = 3,234,424,384/26,374
  6. Step 6: Final answer
    x = 122,636.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.