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Finding the Third Proportional to 24,033.75 and 52,747.50

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Solution

The third proportional to 24,033.75 and 52,747.50 is: 115,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.75 : 52,747.50 = 52,747.50 : x
  2. Step 2: Convert to fraction form
    24,033.75/52,747.50 = 52,747.50/x
  3. Step 3: Cross multiply
    24,033.75x = 52,747.50 × 52,747.50
  4. Step 4: Simplify right side
    24,033.75x = 2,782,298,756.25
  5. Step 5: Solve for x
    x = 2,782,298,756.25/24,033.75
  6. Step 6: Final answer
    x = 115,766.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.