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Finding the Third Proportional to 23,135.63 and 34,399.69

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Solution

The third proportional to 23,135.63 and 34,399.69 is: 51,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.63 : 34,399.69 = 34,399.69 : x
  2. Step 2: Convert to fraction form
    23,135.63/34,399.69 = 34,399.69/x
  3. Step 3: Cross multiply
    23,135.63x = 34,399.69 × 34,399.69
  4. Step 4: Simplify right side
    23,135.63x = 1,183,338,500.10
  5. Step 5: Solve for x
    x = 1,183,338,500.10/23,135.63
  6. Step 6: Final answer
    x = 51,147.89

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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.