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Finding the Third Proportional to 23,223.38 and 49,443.75

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Solution

The third proportional to 23,223.38 and 49,443.75 is: 105,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.38 : 49,443.75 = 49,443.75 : x
  2. Step 2: Convert to fraction form
    23,223.38/49,443.75 = 49,443.75/x
  3. Step 3: Cross multiply
    23,223.38x = 49,443.75 × 49,443.75
  4. Step 4: Simplify right side
    23,223.38x = 2,444,684,414.06
  5. Step 5: Solve for x
    x = 2,444,684,414.06/23,223.38
  6. Step 6: Final answer
    x = 105,268.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.