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Finding the Third Proportional to 36,104 and 57,664

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Solution

The third proportional to 36,104 and 57,664 is: 92,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,104 : 57,664 = 57,664 : x
  2. Step 2: Convert to fraction form
    36,104/57,664 = 57,664/x
  3. Step 3: Cross multiply
    36,104x = 57,664 × 57,664
  4. Step 4: Simplify right side
    36,104x = 3,325,136,896
  5. Step 5: Solve for x
    x = 3,325,136,896/36,104
  6. Step 6: Final answer
    x = 92,098.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.