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Finding the Third Proportional to 6,842 and 7,562

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Solution

The third proportional to 6,842 and 7,562 is: 8,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842 : 7,562 = 7,562 : x
  2. Step 2: Convert to fraction form
    6,842/7,562 = 7,562/x
  3. Step 3: Cross multiply
    6,842x = 7,562 × 7,562
  4. Step 4: Simplify right side
    6,842x = 57,183,844
  5. Step 5: Solve for x
    x = 57,183,844/6,842
  6. Step 6: Final answer
    x = 8,357.77

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.