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Finding the Third Proportional to 30,676.50 and 67,059.75

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Solution

The third proportional to 30,676.50 and 67,059.75 is: 146,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.50 : 67,059.75 = 67,059.75 : x
  2. Step 2: Convert to fraction form
    30,676.50/67,059.75 = 67,059.75/x
  3. Step 3: Cross multiply
    30,676.50x = 67,059.75 × 67,059.75
  4. Step 4: Simplify right side
    30,676.50x = 4,497,010,070.06
  5. Step 5: Solve for x
    x = 4,497,010,070.06/30,676.50
  6. Step 6: Final answer
    x = 146,594.63

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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.