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Finding the Third Proportional to 36,111 and 41,295

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Solution

The third proportional to 36,111 and 41,295 is: 47,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,111 : 41,295 = 41,295 : x
  2. Step 2: Convert to fraction form
    36,111/41,295 = 41,295/x
  3. Step 3: Cross multiply
    36,111x = 41,295 × 41,295
  4. Step 4: Simplify right side
    36,111x = 1,705,277,025
  5. Step 5: Solve for x
    x = 1,705,277,025/36,111
  6. Step 6: Final answer
    x = 47,223.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.