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Finding the Third Proportional to 23,253 and 33,745

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Solution

The third proportional to 23,253 and 33,745 is: 48,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253 : 33,745 = 33,745 : x
  2. Step 2: Convert to fraction form
    23,253/33,745 = 33,745/x
  3. Step 3: Cross multiply
    23,253x = 33,745 × 33,745
  4. Step 4: Simplify right side
    23,253x = 1,138,725,025
  5. Step 5: Solve for x
    x = 1,138,725,025/23,253
  6. Step 6: Final answer
    x = 48,971.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.