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Finding the Third Proportional to 5,226.75 and 7,326

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Solution

The third proportional to 5,226.75 and 7,326 is: 10,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.75 : 7,326 = 7,326 : x
  2. Step 2: Convert to fraction form
    5,226.75/7,326 = 7,326/x
  3. Step 3: Cross multiply
    5,226.75x = 7,326 × 7,326
  4. Step 4: Simplify right side
    5,226.75x = 53,670,276
  5. Step 5: Solve for x
    x = 53,670,276/5,226.75
  6. Step 6: Final answer
    x = 10,268.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.