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Finding the Third Proportional to 30,907 and 67,481

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Solution

The third proportional to 30,907 and 67,481 is: 147,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907 : 67,481 = 67,481 : x
  2. Step 2: Convert to fraction form
    30,907/67,481 = 67,481/x
  3. Step 3: Cross multiply
    30,907x = 67,481 × 67,481
  4. Step 4: Simplify right side
    30,907x = 4,553,685,361
  5. Step 5: Solve for x
    x = 4,553,685,361/30,907
  6. Step 6: Final answer
    x = 147,335.08

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