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Finding the Third Proportional to 30,682.50 and 67,395

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Solution

The third proportional to 30,682.50 and 67,395 is: 148,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.50 : 67,395 = 67,395 : x
  2. Step 2: Convert to fraction form
    30,682.50/67,395 = 67,395/x
  3. Step 3: Cross multiply
    30,682.50x = 67,395 × 67,395
  4. Step 4: Simplify right side
    30,682.50x = 4,542,086,025
  5. Step 5: Solve for x
    x = 4,542,086,025/30,682.50
  6. Step 6: Final answer
    x = 148,035.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.