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Finding the Third Proportional to 20,924 and 32,054

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Solution

The third proportional to 20,924 and 32,054 is: 49,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924 : 32,054 = 32,054 : x
  2. Step 2: Convert to fraction form
    20,924/32,054 = 32,054/x
  3. Step 3: Cross multiply
    20,924x = 32,054 × 32,054
  4. Step 4: Simplify right side
    20,924x = 1,027,458,916
  5. Step 5: Solve for x
    x = 1,027,458,916/20,924
  6. Step 6: Final answer
    x = 49,104.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.