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Finding the Third Proportional to 30,678.75 and 66,961.69

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Solution

The third proportional to 30,678.75 and 66,961.69 is: 146,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.75 : 66,961.69 = 66,961.69 : x
  2. Step 2: Convert to fraction form
    30,678.75/66,961.69 = 66,961.69/x
  3. Step 3: Cross multiply
    30,678.75x = 66,961.69 × 66,961.69
  4. Step 4: Simplify right side
    30,678.75x = 4,483,867,592.85
  5. Step 5: Solve for x
    x = 4,483,867,592.85/30,678.75
  6. Step 6: Final answer
    x = 146,155.49

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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.