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Finding the Third Proportional to 36,020 and 54,526

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Solution

The third proportional to 36,020 and 54,526 is: 82,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,020 : 54,526 = 54,526 : x
  2. Step 2: Convert to fraction form
    36,020/54,526 = 54,526/x
  3. Step 3: Cross multiply
    36,020x = 54,526 × 54,526
  4. Step 4: Simplify right side
    36,020x = 2,973,084,676
  5. Step 5: Solve for x
    x = 2,973,084,676/36,020
  6. Step 6: Final answer
    x = 82,539.83

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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.