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Finding the Third Proportional to 33,655 and 49,021

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Solution

The third proportional to 33,655 and 49,021 is: 71,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655 : 49,021 = 49,021 : x
  2. Step 2: Convert to fraction form
    33,655/49,021 = 49,021/x
  3. Step 3: Cross multiply
    33,655x = 49,021 × 49,021
  4. Step 4: Simplify right side
    33,655x = 2,403,058,441
  5. Step 5: Solve for x
    x = 2,403,058,441/33,655
  6. Step 6: Final answer
    x = 71,402.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.