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Finding the Third Proportional to 23,853.38 and 51,807.38

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Solution

The third proportional to 23,853.38 and 51,807.38 is: 112,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.38 : 51,807.38 = 51,807.38 : x
  2. Step 2: Convert to fraction form
    23,853.38/51,807.38 = 51,807.38/x
  3. Step 3: Cross multiply
    23,853.38x = 51,807.38 × 51,807.38
  4. Step 4: Simplify right side
    23,853.38x = 2,684,004,104.39
  5. Step 5: Solve for x
    x = 2,684,004,104.39/23,853.38
  6. Step 6: Final answer
    x = 112,520.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.