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Finding the Third Proportional to 20,164 and 47,091

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Solution

The third proportional to 20,164 and 47,091 is: 109,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 47,091 = 47,091 : x
  2. Step 2: Convert to fraction form
    20,164/47,091 = 47,091/x
  3. Step 3: Cross multiply
    20,164x = 47,091 × 47,091
  4. Step 4: Simplify right side
    20,164x = 2,217,562,281
  5. Step 5: Solve for x
    x = 2,217,562,281/20,164
  6. Step 6: Final answer
    x = 109,976.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.