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Finding the Third Proportional to 20,104 and 35,888

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Solution

The third proportional to 20,104 and 35,888 is: 64,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 35,888 = 35,888 : x
  2. Step 2: Convert to fraction form
    20,104/35,888 = 35,888/x
  3. Step 3: Cross multiply
    20,104x = 35,888 × 35,888
  4. Step 4: Simplify right side
    20,104x = 1,287,948,544
  5. Step 5: Solve for x
    x = 1,287,948,544/20,104
  6. Step 6: Final answer
    x = 64,064.29

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.