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Finding the Third Proportional to 23,144.63 and 35,679.38

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Solution

The third proportional to 23,144.63 and 35,679.38 is: 55,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.63 : 35,679.38 = 35,679.38 : x
  2. Step 2: Convert to fraction form
    23,144.63/35,679.38 = 35,679.38/x
  3. Step 3: Cross multiply
    23,144.63x = 35,679.38 × 35,679.38
  4. Step 4: Simplify right side
    23,144.63x = 1,273,017,800.39
  5. Step 5: Solve for x
    x = 1,273,017,800.39/23,144.63
  6. Step 6: Final answer
    x = 55,002.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.