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Finding the Third Proportional to 22,657 and 33,318

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Solution

The third proportional to 22,657 and 33,318 is: 48,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657 : 33,318 = 33,318 : x
  2. Step 2: Convert to fraction form
    22,657/33,318 = 33,318/x
  3. Step 3: Cross multiply
    22,657x = 33,318 × 33,318
  4. Step 4: Simplify right side
    22,657x = 1,110,089,124
  5. Step 5: Solve for x
    x = 1,110,089,124/22,657
  6. Step 6: Final answer
    x = 48,995.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.