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Finding the Third Proportional to 30,992.50 and 67,745

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Solution

The third proportional to 30,992.50 and 67,745 is: 148,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.50 : 67,745 = 67,745 : x
  2. Step 2: Convert to fraction form
    30,992.50/67,745 = 67,745/x
  3. Step 3: Cross multiply
    30,992.50x = 67,745 × 67,745
  4. Step 4: Simplify right side
    30,992.50x = 4,589,385,025
  5. Step 5: Solve for x
    x = 4,589,385,025/30,992.50
  6. Step 6: Final answer
    x = 148,080.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.