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Finding the Third Proportional to 24,081 and 35,866.50

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Solution

The third proportional to 24,081 and 35,866.50 is: 53,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,081 : 35,866.50 = 35,866.50 : x
  2. Step 2: Convert to fraction form
    24,081/35,866.50 = 35,866.50/x
  3. Step 3: Cross multiply
    24,081x = 35,866.50 × 35,866.50
  4. Step 4: Simplify right side
    24,081x = 1,286,405,822.25
  5. Step 5: Solve for x
    x = 1,286,405,822.25/24,081
  6. Step 6: Final answer
    x = 53,419.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.