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Finding the Third Proportional to 6,186 and 7,563

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Solution

The third proportional to 6,186 and 7,563 is: 9,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 7,563 = 7,563 : x
  2. Step 2: Convert to fraction form
    6,186/7,563 = 7,563/x
  3. Step 3: Cross multiply
    6,186x = 7,563 × 7,563
  4. Step 4: Simplify right side
    6,186x = 57,198,969
  5. Step 5: Solve for x
    x = 57,198,969/6,186
  6. Step 6: Final answer
    x = 9,246.52

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.