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Finding the Third Proportional to 30,856.50 and 67,288.13

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Solution

The third proportional to 30,856.50 and 67,288.13 is: 146,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.50 : 67,288.13 = 67,288.13 : x
  2. Step 2: Convert to fraction form
    30,856.50/67,288.13 = 67,288.13/x
  3. Step 3: Cross multiply
    30,856.50x = 67,288.13 × 67,288.13
  4. Step 4: Simplify right side
    30,856.50x = 4,527,691,766.02
  5. Step 5: Solve for x
    x = 4,527,691,766.02/30,856.50
  6. Step 6: Final answer
    x = 146,733.81

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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.