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Finding the Third Proportional to 23,863.50 and 53,915.25

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Solution

The third proportional to 23,863.50 and 53,915.25 is: 121,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.50 : 53,915.25 = 53,915.25 : x
  2. Step 2: Convert to fraction form
    23,863.50/53,915.25 = 53,915.25/x
  3. Step 3: Cross multiply
    23,863.50x = 53,915.25 × 53,915.25
  4. Step 4: Simplify right side
    23,863.50x = 2,906,854,182.56
  5. Step 5: Solve for x
    x = 2,906,854,182.56/23,863.50
  6. Step 6: Final answer
    x = 121,811.73

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.