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Finding the Third Proportional to 20,009 and 31,895

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Solution

The third proportional to 20,009 and 31,895 is: 50,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 31,895 = 31,895 : x
  2. Step 2: Convert to fraction form
    20,009/31,895 = 31,895/x
  3. Step 3: Cross multiply
    20,009x = 31,895 × 31,895
  4. Step 4: Simplify right side
    20,009x = 1,017,291,025
  5. Step 5: Solve for x
    x = 1,017,291,025/20,009
  6. Step 6: Final answer
    x = 50,841.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.