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Finding the Third Proportional to 12,711.94 and 23,626.69

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Solution

The third proportional to 12,711.94 and 23,626.69 is: 43,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.94 : 23,626.69 = 23,626.69 : x
  2. Step 2: Convert to fraction form
    12,711.94/23,626.69 = 23,626.69/x
  3. Step 3: Cross multiply
    12,711.94x = 23,626.69 × 23,626.69
  4. Step 4: Simplify right side
    12,711.94x = 558,220,362.22
  5. Step 5: Solve for x
    x = 558,220,362.22/12,711.94
  6. Step 6: Final answer
    x = 43,913.08

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.