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Finding the Third Proportional to 36,270 and 53,163

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Solution

The third proportional to 36,270 and 53,163 is: 77,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270 : 53,163 = 53,163 : x
  2. Step 2: Convert to fraction form
    36,270/53,163 = 53,163/x
  3. Step 3: Cross multiply
    36,270x = 53,163 × 53,163
  4. Step 4: Simplify right side
    36,270x = 2,826,304,569
  5. Step 5: Solve for x
    x = 2,826,304,569/36,270
  6. Step 6: Final answer
    x = 77,924.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.