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Finding the Third Proportional to 23,312.81 and 34,969.22

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Solution

The third proportional to 23,312.81 and 34,969.22 is: 52,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.81 : 34,969.22 = 34,969.22 : x
  2. Step 2: Convert to fraction form
    23,312.81/34,969.22 = 34,969.22/x
  3. Step 3: Cross multiply
    23,312.81x = 34,969.22 × 34,969.22
  4. Step 4: Simplify right side
    23,312.81x = 1,222,846,259.99
  5. Step 5: Solve for x
    x = 1,222,846,259.99/23,312.81
  6. Step 6: Final answer
    x = 52,453.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.