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Finding the Third Proportional to 18,876 and 35,036

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Solution

The third proportional to 18,876 and 35,036 is: 65,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,876 : 35,036 = 35,036 : x
  2. Step 2: Convert to fraction form
    18,876/35,036 = 35,036/x
  3. Step 3: Cross multiply
    18,876x = 35,036 × 35,036
  4. Step 4: Simplify right side
    18,876x = 1,227,521,296
  5. Step 5: Solve for x
    x = 1,227,521,296/18,876
  6. Step 6: Final answer
    x = 65,030.80

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.