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Finding the Third Proportional to 20,070 and 33,277

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Solution

The third proportional to 20,070 and 33,277 is: 55,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070 : 33,277 = 33,277 : x
  2. Step 2: Convert to fraction form
    20,070/33,277 = 33,277/x
  3. Step 3: Cross multiply
    20,070x = 33,277 × 33,277
  4. Step 4: Simplify right side
    20,070x = 1,107,358,729
  5. Step 5: Solve for x
    x = 1,107,358,729/20,070
  6. Step 6: Final answer
    x = 55,174.82

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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.