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Finding the Third Proportional to 26,257 and 38,974

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Solution

The third proportional to 26,257 and 38,974 is: 57,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257 : 38,974 = 38,974 : x
  2. Step 2: Convert to fraction form
    26,257/38,974 = 38,974/x
  3. Step 3: Cross multiply
    26,257x = 38,974 × 38,974
  4. Step 4: Simplify right side
    26,257x = 1,518,972,676
  5. Step 5: Solve for x
    x = 1,518,972,676/26,257
  6. Step 6: Final answer
    x = 57,850.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.