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Finding the Third Proportional to 20,201 and 31,009

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Solution

The third proportional to 20,201 and 31,009 is: 47,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201 : 31,009 = 31,009 : x
  2. Step 2: Convert to fraction form
    20,201/31,009 = 31,009/x
  3. Step 3: Cross multiply
    20,201x = 31,009 × 31,009
  4. Step 4: Simplify right side
    20,201x = 961,558,081
  5. Step 5: Solve for x
    x = 961,558,081/20,201
  6. Step 6: Final answer
    x = 47,599.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.