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Finding the Third Proportional to 23,069.81 and 35,366.63

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Solution

The third proportional to 23,069.81 and 35,366.63 is: 54,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069.81 : 35,366.63 = 35,366.63 : x
  2. Step 2: Convert to fraction form
    23,069.81/35,366.63 = 35,366.63/x
  3. Step 3: Cross multiply
    23,069.81x = 35,366.63 × 35,366.63
  4. Step 4: Simplify right side
    23,069.81x = 1,250,798,163.89
  5. Step 5: Solve for x
    x = 1,250,798,163.89/23,069.81
  6. Step 6: Final answer
    x = 54,217.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.