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Finding the Third Proportional to 23,044.50 and 49,592.25

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Solution

The third proportional to 23,044.50 and 49,592.25 is: 106,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044.50 : 49,592.25 = 49,592.25 : x
  2. Step 2: Convert to fraction form
    23,044.50/49,592.25 = 49,592.25/x
  3. Step 3: Cross multiply
    23,044.50x = 49,592.25 × 49,592.25
  4. Step 4: Simplify right side
    23,044.50x = 2,459,391,260.06
  5. Step 5: Solve for x
    x = 2,459,391,260.06/23,044.50
  6. Step 6: Final answer
    x = 106,723.57

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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.