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Finding the Third Proportional to 22,816.69 and 32,022.84

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Solution

The third proportional to 22,816.69 and 32,022.84 is: 44,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.69 : 32,022.84 = 32,022.84 : x
  2. Step 2: Convert to fraction form
    22,816.69/32,022.84 = 32,022.84/x
  3. Step 3: Cross multiply
    22,816.69x = 32,022.84 × 32,022.84
  4. Step 4: Simplify right side
    22,816.69x = 1,025,462,521.84
  5. Step 5: Solve for x
    x = 1,025,462,521.84/22,816.69
  6. Step 6: Final answer
    x = 44,943.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.