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Finding the Third Proportional to 23,915.67 and 52,202.39

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Solution

The third proportional to 23,915.67 and 52,202.39 is: 113,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.67 : 52,202.39 = 52,202.39 : x
  2. Step 2: Convert to fraction form
    23,915.67/52,202.39 = 52,202.39/x
  3. Step 3: Cross multiply
    23,915.67x = 52,202.39 × 52,202.39
  4. Step 4: Simplify right side
    23,915.67x = 2,725,089,586.97
  5. Step 5: Solve for x
    x = 2,725,089,586.97/23,915.67
  6. Step 6: Final answer
    x = 113,945.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.