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Finding the Third Proportional to 30,917 and 67,315

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Solution

The third proportional to 30,917 and 67,315 is: 146,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917 : 67,315 = 67,315 : x
  2. Step 2: Convert to fraction form
    30,917/67,315 = 67,315/x
  3. Step 3: Cross multiply
    30,917x = 67,315 × 67,315
  4. Step 4: Simplify right side
    30,917x = 4,531,309,225
  5. Step 5: Solve for x
    x = 4,531,309,225/30,917
  6. Step 6: Final answer
    x = 146,563.68

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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.