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Finding the Third Proportional to 23,593.78 and 35,614.69

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Solution

The third proportional to 23,593.78 and 35,614.69 is: 53,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,593.78 : 35,614.69 = 35,614.69 : x
  2. Step 2: Convert to fraction form
    23,593.78/35,614.69 = 35,614.69/x
  3. Step 3: Cross multiply
    23,593.78x = 35,614.69 × 35,614.69
  4. Step 4: Simplify right side
    23,593.78x = 1,268,405,965.72
  5. Step 5: Solve for x
    x = 1,268,405,965.72/23,593.78
  6. Step 6: Final answer
    x = 53,760.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.