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Finding the Third Proportional to 12,951.14 and 27,969.68

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Solution

The third proportional to 12,951.14 and 27,969.68 is: 60,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.14 : 27,969.68 = 27,969.68 : x
  2. Step 2: Convert to fraction form
    12,951.14/27,969.68 = 27,969.68/x
  3. Step 3: Cross multiply
    12,951.14x = 27,969.68 × 27,969.68
  4. Step 4: Simplify right side
    12,951.14x = 782,302,981.82
  5. Step 5: Solve for x
    x = 782,302,981.82/12,951.14
  6. Step 6: Final answer
    x = 60,404.18

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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.