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Finding the Third Proportional to 23,024.88 and 49,551.43

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Solution

The third proportional to 23,024.88 and 49,551.43 is: 106,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.88 : 49,551.43 = 49,551.43 : x
  2. Step 2: Convert to fraction form
    23,024.88/49,551.43 = 49,551.43/x
  3. Step 3: Cross multiply
    23,024.88x = 49,551.43 × 49,551.43
  4. Step 4: Simplify right side
    23,024.88x = 2,455,344,571.20
  5. Step 5: Solve for x
    x = 2,455,344,571.20/23,024.88
  6. Step 6: Final answer
    x = 106,638.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.