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Finding the Third Proportional to 30,930.50 and 67,381

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Solution

The third proportional to 30,930.50 and 67,381 is: 146,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.50 : 67,381 = 67,381 : x
  2. Step 2: Convert to fraction form
    30,930.50/67,381 = 67,381/x
  3. Step 3: Cross multiply
    30,930.50x = 67,381 × 67,381
  4. Step 4: Simplify right side
    30,930.50x = 4,540,199,161
  5. Step 5: Solve for x
    x = 4,540,199,161/30,930.50
  6. Step 6: Final answer
    x = 146,787.12

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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.