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Finding the Third Proportional to 30,867 and 43,705.50

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Solution

The third proportional to 30,867 and 43,705.50 is: 61,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867 : 43,705.50 = 43,705.50 : x
  2. Step 2: Convert to fraction form
    30,867/43,705.50 = 43,705.50/x
  3. Step 3: Cross multiply
    30,867x = 43,705.50 × 43,705.50
  4. Step 4: Simplify right side
    30,867x = 1,910,170,730.25
  5. Step 5: Solve for x
    x = 1,910,170,730.25/30,867
  6. Step 6: Final answer
    x = 61,883.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.