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Finding the Third Proportional to 23,163 and 35,889

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Solution

The third proportional to 23,163 and 35,889 is: 55,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163 : 35,889 = 35,889 : x
  2. Step 2: Convert to fraction form
    23,163/35,889 = 35,889/x
  3. Step 3: Cross multiply
    23,163x = 35,889 × 35,889
  4. Step 4: Simplify right side
    23,163x = 1,288,020,321
  5. Step 5: Solve for x
    x = 1,288,020,321/23,163
  6. Step 6: Final answer
    x = 55,606.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.