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Finding the Third Proportional to 20,201 and 33,550

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Solution

The third proportional to 20,201 and 33,550 is: 55,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 33,550 = 33,550 : x
  2. Step 2: Convert to fraction form
    20,201/33,550 = 33,550/x
  3. Step 3: Cross multiply
    20,201x = 33,550 × 33,550
  4. Step 4: Simplify right side
    20,201x = 1,125,602,500
  5. Step 5: Solve for x
    x = 1,125,602,500/20,201
  6. Step 6: Final answer
    x = 55,720.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.