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Finding the Third Proportional to 30,584.53 and 43,069.22

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Solution

The third proportional to 30,584.53 and 43,069.22 is: 60,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.53 : 43,069.22 = 43,069.22 : x
  2. Step 2: Convert to fraction form
    30,584.53/43,069.22 = 43,069.22/x
  3. Step 3: Cross multiply
    30,584.53x = 43,069.22 × 43,069.22
  4. Step 4: Simplify right side
    30,584.53x = 1,854,957,603.74
  5. Step 5: Solve for x
    x = 1,854,957,603.74/30,584.53
  6. Step 6: Final answer
    x = 60,650.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.