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Finding the Third Proportional to 18,586 and 40,084

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Solution

The third proportional to 18,586 and 40,084 is: 86,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586 : 40,084 = 40,084 : x
  2. Step 2: Convert to fraction form
    18,586/40,084 = 40,084/x
  3. Step 3: Cross multiply
    18,586x = 40,084 × 40,084
  4. Step 4: Simplify right side
    18,586x = 1,606,727,056
  5. Step 5: Solve for x
    x = 1,606,727,056/18,586
  6. Step 6: Final answer
    x = 86,448.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.