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Finding the Third Proportional to 36,110 and 57,663

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Solution

The third proportional to 36,110 and 57,663 is: 92,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,110 : 57,663 = 57,663 : x
  2. Step 2: Convert to fraction form
    36,110/57,663 = 57,663/x
  3. Step 3: Cross multiply
    36,110x = 57,663 × 57,663
  4. Step 4: Simplify right side
    36,110x = 3,325,021,569
  5. Step 5: Solve for x
    x = 3,325,021,569/36,110
  6. Step 6: Final answer
    x = 92,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.