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Finding the Third Proportional to 3,807 and 8,178

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Solution

The third proportional to 3,807 and 8,178 is: 17,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 8,178 = 8,178 : x
  2. Step 2: Convert to fraction form
    3,807/8,178 = 8,178/x
  3. Step 3: Cross multiply
    3,807x = 8,178 × 8,178
  4. Step 4: Simplify right side
    3,807x = 66,879,684
  5. Step 5: Solve for x
    x = 66,879,684/3,807
  6. Step 6: Final answer
    x = 17,567.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.