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Finding the Third Proportional to 22,969.13 and 34,454.25

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Solution

The third proportional to 22,969.13 and 34,454.25 is: 51,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.13 : 34,454.25 = 34,454.25 : x
  2. Step 2: Convert to fraction form
    22,969.13/34,454.25 = 34,454.25/x
  3. Step 3: Cross multiply
    22,969.13x = 34,454.25 × 34,454.25
  4. Step 4: Simplify right side
    22,969.13x = 1,187,095,343.06
  5. Step 5: Solve for x
    x = 1,187,095,343.06/22,969.13
  6. Step 6: Final answer
    x = 51,682.22

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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.