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Finding the Third Proportional to 6,833 and 7,319

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Solution

The third proportional to 6,833 and 7,319 is: 7,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833 : 7,319 = 7,319 : x
  2. Step 2: Convert to fraction form
    6,833/7,319 = 7,319/x
  3. Step 3: Cross multiply
    6,833x = 7,319 × 7,319
  4. Step 4: Simplify right side
    6,833x = 53,567,761
  5. Step 5: Solve for x
    x = 53,567,761/6,833
  6. Step 6: Final answer
    x = 7,839.57

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.