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Finding the Third Proportional to 26,183 and 38,905

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Solution

The third proportional to 26,183 and 38,905 is: 57,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,183 : 38,905 = 38,905 : x
  2. Step 2: Convert to fraction form
    26,183/38,905 = 38,905/x
  3. Step 3: Cross multiply
    26,183x = 38,905 × 38,905
  4. Step 4: Simplify right side
    26,183x = 1,513,599,025
  5. Step 5: Solve for x
    x = 1,513,599,025/26,183
  6. Step 6: Final answer
    x = 57,808.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.