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Finding the Third Proportional to 24,723.38 and 38,270.81

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Solution

The third proportional to 24,723.38 and 38,270.81 is: 59,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.38 : 38,270.81 = 38,270.81 : x
  2. Step 2: Convert to fraction form
    24,723.38/38,270.81 = 38,270.81/x
  3. Step 3: Cross multiply
    24,723.38x = 38,270.81 × 38,270.81
  4. Step 4: Simplify right side
    24,723.38x = 1,464,655,089.41
  5. Step 5: Solve for x
    x = 1,464,655,089.41/24,723.38
  6. Step 6: Final answer
    x = 59,241.71

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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.