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Finding the Third Proportional to 26,526 and 57,906

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Solution

The third proportional to 26,526 and 57,906 is: 126,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,526 : 57,906 = 57,906 : x
  2. Step 2: Convert to fraction form
    26,526/57,906 = 57,906/x
  3. Step 3: Cross multiply
    26,526x = 57,906 × 57,906
  4. Step 4: Simplify right side
    26,526x = 3,353,104,836
  5. Step 5: Solve for x
    x = 3,353,104,836/26,526
  6. Step 6: Final answer
    x = 126,408.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.