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Finding the Third Proportional to 24,186.75 and 37,373.25

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Solution

The third proportional to 24,186.75 and 37,373.25 is: 57,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.75 : 37,373.25 = 37,373.25 : x
  2. Step 2: Convert to fraction form
    24,186.75/37,373.25 = 37,373.25/x
  3. Step 3: Cross multiply
    24,186.75x = 37,373.25 × 37,373.25
  4. Step 4: Simplify right side
    24,186.75x = 1,396,759,815.56
  5. Step 5: Solve for x
    x = 1,396,759,815.56/24,186.75
  6. Step 6: Final answer
    x = 57,748.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.