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Finding the Third Proportional to 36,084 and 53,741

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Solution

The third proportional to 36,084 and 53,741 is: 80,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084 : 53,741 = 53,741 : x
  2. Step 2: Convert to fraction form
    36,084/53,741 = 53,741/x
  3. Step 3: Cross multiply
    36,084x = 53,741 × 53,741
  4. Step 4: Simplify right side
    36,084x = 2,888,095,081
  5. Step 5: Solve for x
    x = 2,888,095,081/36,084
  6. Step 6: Final answer
    x = 80,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.