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Finding the Third Proportional to 22,622 and 40,138

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Solution

The third proportional to 22,622 and 40,138 is: 71,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622 : 40,138 = 40,138 : x
  2. Step 2: Convert to fraction form
    22,622/40,138 = 40,138/x
  3. Step 3: Cross multiply
    22,622x = 40,138 × 40,138
  4. Step 4: Simplify right side
    22,622x = 1,611,059,044
  5. Step 5: Solve for x
    x = 1,611,059,044/22,622
  6. Step 6: Final answer
    x = 71,216.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.