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Finding the Third Proportional to 18,700 and 41,084

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Solution

The third proportional to 18,700 and 41,084 is: 90,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700 : 41,084 = 41,084 : x
  2. Step 2: Convert to fraction form
    18,700/41,084 = 41,084/x
  3. Step 3: Cross multiply
    18,700x = 41,084 × 41,084
  4. Step 4: Simplify right side
    18,700x = 1,687,895,056
  5. Step 5: Solve for x
    x = 1,687,895,056/18,700
  6. Step 6: Final answer
    x = 90,261.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.