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Finding the Third Proportional to 24,146.44 and 52,867.69

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Solution

The third proportional to 24,146.44 and 52,867.69 is: 115,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.44 : 52,867.69 = 52,867.69 : x
  2. Step 2: Convert to fraction form
    24,146.44/52,867.69 = 52,867.69/x
  3. Step 3: Cross multiply
    24,146.44x = 52,867.69 × 52,867.69
  4. Step 4: Simplify right side
    24,146.44x = 2,794,992,381.60
  5. Step 5: Solve for x
    x = 2,794,992,381.60/24,146.44
  6. Step 6: Final answer
    x = 115,751.75

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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.