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Finding the Third Proportional to 24,535.50 and 33,022.50

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Solution

The third proportional to 24,535.50 and 33,022.50 is: 44,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.50 : 33,022.50 = 33,022.50 : x
  2. Step 2: Convert to fraction form
    24,535.50/33,022.50 = 33,022.50/x
  3. Step 3: Cross multiply
    24,535.50x = 33,022.50 × 33,022.50
  4. Step 4: Simplify right side
    24,535.50x = 1,090,485,506.25
  5. Step 5: Solve for x
    x = 1,090,485,506.25/24,535.50
  6. Step 6: Final answer
    x = 44,445.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.