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Finding the Third Proportional to 22,014 and 31,366

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Solution

The third proportional to 22,014 and 31,366 is: 44,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 31,366 = 31,366 : x
  2. Step 2: Convert to fraction form
    22,014/31,366 = 31,366/x
  3. Step 3: Cross multiply
    22,014x = 31,366 × 31,366
  4. Step 4: Simplify right side
    22,014x = 983,825,956
  5. Step 5: Solve for x
    x = 983,825,956/22,014
  6. Step 6: Final answer
    x = 44,690.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.