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Finding the Third Proportional to 30,734 and 67,028

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Solution

The third proportional to 30,734 and 67,028 is: 146,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734 : 67,028 = 67,028 : x
  2. Step 2: Convert to fraction form
    30,734/67,028 = 67,028/x
  3. Step 3: Cross multiply
    30,734x = 67,028 × 67,028
  4. Step 4: Simplify right side
    30,734x = 4,492,752,784
  5. Step 5: Solve for x
    x = 4,492,752,784/30,734
  6. Step 6: Final answer
    x = 146,181.84

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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.