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Finding the Third Proportional to 20,009 and 43,164

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Solution

The third proportional to 20,009 and 43,164 is: 93,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 43,164 = 43,164 : x
  2. Step 2: Convert to fraction form
    20,009/43,164 = 43,164/x
  3. Step 3: Cross multiply
    20,009x = 43,164 × 43,164
  4. Step 4: Simplify right side
    20,009x = 1,863,130,896
  5. Step 5: Solve for x
    x = 1,863,130,896/20,009
  6. Step 6: Final answer
    x = 93,114.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.