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Finding the Third Proportional to 6,402 and 7,326

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Solution

The third proportional to 6,402 and 7,326 is: 8,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 7,326 = 7,326 : x
  2. Step 2: Convert to fraction form
    6,402/7,326 = 7,326/x
  3. Step 3: Cross multiply
    6,402x = 7,326 × 7,326
  4. Step 4: Simplify right side
    6,402x = 53,670,276
  5. Step 5: Solve for x
    x = 53,670,276/6,402
  6. Step 6: Final answer
    x = 8,383.36

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.