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Finding the Third Proportional to 21,350 and 33,495

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Solution

The third proportional to 21,350 and 33,495 is: 52,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350 : 33,495 = 33,495 : x
  2. Step 2: Convert to fraction form
    21,350/33,495 = 33,495/x
  3. Step 3: Cross multiply
    21,350x = 33,495 × 33,495
  4. Step 4: Simplify right side
    21,350x = 1,121,915,025
  5. Step 5: Solve for x
    x = 1,121,915,025/21,350
  6. Step 6: Final answer
    x = 52,548.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.