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Finding the Third Proportional to 30,409 and 66,422

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Solution

The third proportional to 30,409 and 66,422 is: 145,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409 : 66,422 = 66,422 : x
  2. Step 2: Convert to fraction form
    30,409/66,422 = 66,422/x
  3. Step 3: Cross multiply
    30,409x = 66,422 × 66,422
  4. Step 4: Simplify right side
    30,409x = 4,411,882,084
  5. Step 5: Solve for x
    x = 4,411,882,084/30,409
  6. Step 6: Final answer
    x = 145,084.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.