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Finding the Third Proportional to 7,726 and 15,974

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Solution

The third proportional to 7,726 and 15,974 is: 33,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726 : 15,974 = 15,974 : x
  2. Step 2: Convert to fraction form
    7,726/15,974 = 15,974/x
  3. Step 3: Cross multiply
    7,726x = 15,974 × 15,974
  4. Step 4: Simplify right side
    7,726x = 255,168,676
  5. Step 5: Solve for x
    x = 255,168,676/7,726
  6. Step 6: Final answer
    x = 33,027.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.