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Finding the Third Proportional to 24,431.63 and 38,107.69

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Solution

The third proportional to 24,431.63 and 38,107.69 is: 59,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.63 : 38,107.69 = 38,107.69 : x
  2. Step 2: Convert to fraction form
    24,431.63/38,107.69 = 38,107.69/x
  3. Step 3: Cross multiply
    24,431.63x = 38,107.69 × 38,107.69
  4. Step 4: Simplify right side
    24,431.63x = 1,452,195,846.60
  5. Step 5: Solve for x
    x = 1,452,195,846.60/24,431.63
  6. Step 6: Final answer
    x = 59,439.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.