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Finding the Third Proportional to 12,961.69 and 27,968.63

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Solution

The third proportional to 12,961.69 and 27,968.63 is: 60,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.69 : 27,968.63 = 27,968.63 : x
  2. Step 2: Convert to fraction form
    12,961.69/27,968.63 = 27,968.63/x
  3. Step 3: Cross multiply
    12,961.69x = 27,968.63 × 27,968.63
  4. Step 4: Simplify right side
    12,961.69x = 782,243,984.39
  5. Step 5: Solve for x
    x = 782,243,984.39/12,961.69
  6. Step 6: Final answer
    x = 60,350.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.