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Finding the Third Proportional to 23,024.25 and 49,723.88

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Solution

The third proportional to 23,024.25 and 49,723.88 is: 107,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.25 : 49,723.88 = 49,723.88 : x
  2. Step 2: Convert to fraction form
    23,024.25/49,723.88 = 49,723.88/x
  3. Step 3: Cross multiply
    23,024.25x = 49,723.88 × 49,723.88
  4. Step 4: Simplify right side
    23,024.25x = 2,472,463,745.02
  5. Step 5: Solve for x
    x = 2,472,463,745.02/23,024.25
  6. Step 6: Final answer
    x = 107,385.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.