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Finding the Third Proportional to 24,140.15 and 52,436.33

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Solution

The third proportional to 24,140.15 and 52,436.33 is: 113,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.15 : 52,436.33 = 52,436.33 : x
  2. Step 2: Convert to fraction form
    24,140.15/52,436.33 = 52,436.33/x
  3. Step 3: Cross multiply
    24,140.15x = 52,436.33 × 52,436.33
  4. Step 4: Simplify right side
    24,140.15x = 2,749,568,379.21
  5. Step 5: Solve for x
    x = 2,749,568,379.21/24,140.15
  6. Step 6: Final answer
    x = 113,900.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.