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Finding the Third Proportional to 26,301 and 36,994

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Solution

The third proportional to 26,301 and 36,994 is: 52,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,301 : 36,994 = 36,994 : x
  2. Step 2: Convert to fraction form
    26,301/36,994 = 36,994/x
  3. Step 3: Cross multiply
    26,301x = 36,994 × 36,994
  4. Step 4: Simplify right side
    26,301x = 1,368,556,036
  5. Step 5: Solve for x
    x = 1,368,556,036/26,301
  6. Step 6: Final answer
    x = 52,034.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.