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Finding the Third Proportional to 10,702 and 22,084

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Solution

The third proportional to 10,702 and 22,084 is: 45,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702 : 22,084 = 22,084 : x
  2. Step 2: Convert to fraction form
    10,702/22,084 = 22,084/x
  3. Step 3: Cross multiply
    10,702x = 22,084 × 22,084
  4. Step 4: Simplify right side
    10,702x = 487,703,056
  5. Step 5: Solve for x
    x = 487,703,056/10,702
  6. Step 6: Final answer
    x = 45,571.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.