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Finding the Third Proportional to 6,170 and 7,803

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Solution

The third proportional to 6,170 and 7,803 is: 9,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 7,803 = 7,803 : x
  2. Step 2: Convert to fraction form
    6,170/7,803 = 7,803/x
  3. Step 3: Cross multiply
    6,170x = 7,803 × 7,803
  4. Step 4: Simplify right side
    6,170x = 60,886,809
  5. Step 5: Solve for x
    x = 60,886,809/6,170
  6. Step 6: Final answer
    x = 9,868.20

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.