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Finding the Third Proportional to 30,219.75 and 65,814.75

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Solution

The third proportional to 30,219.75 and 65,814.75 is: 143,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.75 : 65,814.75 = 65,814.75 : x
  2. Step 2: Convert to fraction form
    30,219.75/65,814.75 = 65,814.75/x
  3. Step 3: Cross multiply
    30,219.75x = 65,814.75 × 65,814.75
  4. Step 4: Simplify right side
    30,219.75x = 4,331,581,317.56
  5. Step 5: Solve for x
    x = 4,331,581,317.56/30,219.75
  6. Step 6: Final answer
    x = 143,336.11

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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.