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Finding the Third Proportional to 36,223 and 55,411

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Solution

The third proportional to 36,223 and 55,411 is: 84,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223 : 55,411 = 55,411 : x
  2. Step 2: Convert to fraction form
    36,223/55,411 = 55,411/x
  3. Step 3: Cross multiply
    36,223x = 55,411 × 55,411
  4. Step 4: Simplify right side
    36,223x = 3,070,378,921
  5. Step 5: Solve for x
    x = 3,070,378,921/36,223
  6. Step 6: Final answer
    x = 84,763.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.