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Finding the Third Proportional to 36,026 and 54,535

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Solution

The third proportional to 36,026 and 54,535 is: 82,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026 : 54,535 = 54,535 : x
  2. Step 2: Convert to fraction form
    36,026/54,535 = 54,535/x
  3. Step 3: Cross multiply
    36,026x = 54,535 × 54,535
  4. Step 4: Simplify right side
    36,026x = 2,974,066,225
  5. Step 5: Solve for x
    x = 2,974,066,225/36,026
  6. Step 6: Final answer
    x = 82,553.33

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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.