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Finding the Third Proportional to 23,601.38 and 35,744.63

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Solution

The third proportional to 23,601.38 and 35,744.63 is: 54,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,601.38 : 35,744.63 = 35,744.63 : x
  2. Step 2: Convert to fraction form
    23,601.38/35,744.63 = 35,744.63/x
  3. Step 3: Cross multiply
    23,601.38x = 35,744.63 × 35,744.63
  4. Step 4: Simplify right side
    23,601.38x = 1,277,678,216.39
  5. Step 5: Solve for x
    x = 1,277,678,216.39/23,601.38
  6. Step 6: Final answer
    x = 54,135.75

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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.