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Finding the Third Proportional to 33,301 and 71,340

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Solution

The third proportional to 33,301 and 71,340 is: 152,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301 : 71,340 = 71,340 : x
  2. Step 2: Convert to fraction form
    33,301/71,340 = 71,340/x
  3. Step 3: Cross multiply
    33,301x = 71,340 × 71,340
  4. Step 4: Simplify right side
    33,301x = 5,089,395,600
  5. Step 5: Solve for x
    x = 5,089,395,600/33,301
  6. Step 6: Final answer
    x = 152,830.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.