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Finding the Third Proportional to 22,216 and 30,956

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Solution

The third proportional to 22,216 and 30,956 is: 43,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,216 : 30,956 = 30,956 : x
  2. Step 2: Convert to fraction form
    22,216/30,956 = 30,956/x
  3. Step 3: Cross multiply
    22,216x = 30,956 × 30,956
  4. Step 4: Simplify right side
    22,216x = 958,273,936
  5. Step 5: Solve for x
    x = 958,273,936/22,216
  6. Step 6: Final answer
    x = 43,134.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.