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Finding the Third Proportional to 24,821.44 and 38,459.81

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Solution

The third proportional to 24,821.44 and 38,459.81 is: 59,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.44 : 38,459.81 = 38,459.81 : x
  2. Step 2: Convert to fraction form
    24,821.44/38,459.81 = 38,459.81/x
  3. Step 3: Cross multiply
    24,821.44x = 38,459.81 × 38,459.81
  4. Step 4: Simplify right side
    24,821.44x = 1,479,157,177.54
  5. Step 5: Solve for x
    x = 1,479,157,177.54/24,821.44
  6. Step 6: Final answer
    x = 59,591.92

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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.