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Finding the Third Proportional to 9,203 and 20,077

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Solution

The third proportional to 9,203 and 20,077 is: 43,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203 : 20,077 = 20,077 : x
  2. Step 2: Convert to fraction form
    9,203/20,077 = 20,077/x
  3. Step 3: Cross multiply
    9,203x = 20,077 × 20,077
  4. Step 4: Simplify right side
    9,203x = 403,085,929
  5. Step 5: Solve for x
    x = 403,085,929/9,203
  6. Step 6: Final answer
    x = 43,799.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.