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Finding the Third Proportional to 30,622 and 66,074

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Solution

The third proportional to 30,622 and 66,074 is: 142,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622 : 66,074 = 66,074 : x
  2. Step 2: Convert to fraction form
    30,622/66,074 = 66,074/x
  3. Step 3: Cross multiply
    30,622x = 66,074 × 66,074
  4. Step 4: Simplify right side
    30,622x = 4,365,773,476
  5. Step 5: Solve for x
    x = 4,365,773,476/30,622
  6. Step 6: Final answer
    x = 142,569.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.