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Finding the Third Proportional to 23,302 and 33,591

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Solution

The third proportional to 23,302 and 33,591 is: 48,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302 : 33,591 = 33,591 : x
  2. Step 2: Convert to fraction form
    23,302/33,591 = 33,591/x
  3. Step 3: Cross multiply
    23,302x = 33,591 × 33,591
  4. Step 4: Simplify right side
    23,302x = 1,128,355,281
  5. Step 5: Solve for x
    x = 1,128,355,281/23,302
  6. Step 6: Final answer
    x = 48,423.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.