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Finding the Third Proportional to 36,578 and 55,135

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Solution

The third proportional to 36,578 and 55,135 is: 83,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578 : 55,135 = 55,135 : x
  2. Step 2: Convert to fraction form
    36,578/55,135 = 55,135/x
  3. Step 3: Cross multiply
    36,578x = 55,135 × 55,135
  4. Step 4: Simplify right side
    36,578x = 3,039,868,225
  5. Step 5: Solve for x
    x = 3,039,868,225/36,578
  6. Step 6: Final answer
    x = 83,106.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.