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Finding the Third Proportional to 22,812 and 35,180

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Solution

The third proportional to 22,812 and 35,180 is: 54,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812 : 35,180 = 35,180 : x
  2. Step 2: Convert to fraction form
    22,812/35,180 = 35,180/x
  3. Step 3: Cross multiply
    22,812x = 35,180 × 35,180
  4. Step 4: Simplify right side
    22,812x = 1,237,632,400
  5. Step 5: Solve for x
    x = 1,237,632,400/22,812
  6. Step 6: Final answer
    x = 54,253.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.