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Finding the Third Proportional to 33,371 and 72,550

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Solution

The third proportional to 33,371 and 72,550 is: 157,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,371 : 72,550 = 72,550 : x
  2. Step 2: Convert to fraction form
    33,371/72,550 = 72,550/x
  3. Step 3: Cross multiply
    33,371x = 72,550 × 72,550
  4. Step 4: Simplify right side
    33,371x = 5,263,502,500
  5. Step 5: Solve for x
    x = 5,263,502,500/33,371
  6. Step 6: Final answer
    x = 157,726.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.