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Finding the Third Proportional to 23,143.50 and 49,792.50

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Solution

The third proportional to 23,143.50 and 49,792.50 is: 107,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.50 : 49,792.50 = 49,792.50 : x
  2. Step 2: Convert to fraction form
    23,143.50/49,792.50 = 49,792.50/x
  3. Step 3: Cross multiply
    23,143.50x = 49,792.50 × 49,792.50
  4. Step 4: Simplify right side
    23,143.50x = 2,479,293,056.25
  5. Step 5: Solve for x
    x = 2,479,293,056.25/23,143.50
  6. Step 6: Final answer
    x = 107,126.97

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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.