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Finding the Third Proportional to 23,317.88 and 49,728.94

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Solution

The third proportional to 23,317.88 and 49,728.94 is: 106,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,317.88 : 49,728.94 = 49,728.94 : x
  2. Step 2: Convert to fraction form
    23,317.88/49,728.94 = 49,728.94/x
  3. Step 3: Cross multiply
    23,317.88x = 49,728.94 × 49,728.94
  4. Step 4: Simplify right side
    23,317.88x = 2,472,967,224.88
  5. Step 5: Solve for x
    x = 2,472,967,224.88/23,317.88
  6. Step 6: Final answer
    x = 106,054.57

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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.