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Finding the Third Proportional to 23,744.25 and 35,661.38

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Solution

The third proportional to 23,744.25 and 35,661.38 is: 53,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.25 : 35,661.38 = 35,661.38 : x
  2. Step 2: Convert to fraction form
    23,744.25/35,661.38 = 35,661.38/x
  3. Step 3: Cross multiply
    23,744.25x = 35,661.38 × 35,661.38
  4. Step 4: Simplify right side
    23,744.25x = 1,271,733,666.89
  5. Step 5: Solve for x
    x = 1,271,733,666.89/23,744.25
  6. Step 6: Final answer
    x = 53,559.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.