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Finding the Third Proportional to 24,745.50 and 55,011.50

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Solution

The third proportional to 24,745.50 and 55,011.50 is: 122,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.50 : 55,011.50 = 55,011.50 : x
  2. Step 2: Convert to fraction form
    24,745.50/55,011.50 = 55,011.50/x
  3. Step 3: Cross multiply
    24,745.50x = 55,011.50 × 55,011.50
  4. Step 4: Simplify right side
    24,745.50x = 3,026,265,132.25
  5. Step 5: Solve for x
    x = 3,026,265,132.25/24,745.50
  6. Step 6: Final answer
    x = 122,295.57

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.