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Finding the Third Proportional to 36,222 and 57,633

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Solution

The third proportional to 36,222 and 57,633 is: 91,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222 : 57,633 = 57,633 : x
  2. Step 2: Convert to fraction form
    36,222/57,633 = 57,633/x
  3. Step 3: Cross multiply
    36,222x = 57,633 × 57,633
  4. Step 4: Simplify right side
    36,222x = 3,321,562,689
  5. Step 5: Solve for x
    x = 3,321,562,689/36,222
  6. Step 6: Final answer
    x = 91,700.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.