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Finding the Third Proportional to 20,054 and 30,009

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Solution

The third proportional to 20,054 and 30,009 is: 44,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054 : 30,009 = 30,009 : x
  2. Step 2: Convert to fraction form
    20,054/30,009 = 30,009/x
  3. Step 3: Cross multiply
    20,054x = 30,009 × 30,009
  4. Step 4: Simplify right side
    20,054x = 900,540,081
  5. Step 5: Solve for x
    x = 900,540,081/20,054
  6. Step 6: Final answer
    x = 44,905.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.