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Finding the Third Proportional to 30,794 and 66,294

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Solution

The third proportional to 30,794 and 66,294 is: 142,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794 : 66,294 = 66,294 : x
  2. Step 2: Convert to fraction form
    30,794/66,294 = 66,294/x
  3. Step 3: Cross multiply
    30,794x = 66,294 × 66,294
  4. Step 4: Simplify right side
    30,794x = 4,394,894,436
  5. Step 5: Solve for x
    x = 4,394,894,436/30,794
  6. Step 6: Final answer
    x = 142,719.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.