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Finding the Third Proportional to 30,997.69 and 67,151.53

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Solution

The third proportional to 30,997.69 and 67,151.53 is: 145,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.69 : 67,151.53 = 67,151.53 : x
  2. Step 2: Convert to fraction form
    30,997.69/67,151.53 = 67,151.53/x
  3. Step 3: Cross multiply
    30,997.69x = 67,151.53 × 67,151.53
  4. Step 4: Simplify right side
    30,997.69x = 4,509,328,149.22
  5. Step 5: Solve for x
    x = 4,509,328,149.22/30,997.69
  6. Step 6: Final answer
    x = 145,473.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.