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Finding the Third Proportional to 36,364 and 76,022

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Solution

The third proportional to 36,364 and 76,022 is: 158,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,364 : 76,022 = 76,022 : x
  2. Step 2: Convert to fraction form
    36,364/76,022 = 76,022/x
  3. Step 3: Cross multiply
    36,364x = 76,022 × 76,022
  4. Step 4: Simplify right side
    36,364x = 5,779,344,484
  5. Step 5: Solve for x
    x = 5,779,344,484/36,364
  6. Step 6: Final answer
    x = 158,930.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.