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Finding the Third Proportional to 36,022 and 52,864

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Solution

The third proportional to 36,022 and 52,864 is: 77,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022 : 52,864 = 52,864 : x
  2. Step 2: Convert to fraction form
    36,022/52,864 = 52,864/x
  3. Step 3: Cross multiply
    36,022x = 52,864 × 52,864
  4. Step 4: Simplify right side
    36,022x = 2,794,602,496
  5. Step 5: Solve for x
    x = 2,794,602,496/36,022
  6. Step 6: Final answer
    x = 77,580.44

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Why These Related Problems?

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