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Finding the Third Proportional to 5,186 and 6,807

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Solution

The third proportional to 5,186 and 6,807 is: 8,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 6,807 = 6,807 : x
  2. Step 2: Convert to fraction form
    5,186/6,807 = 6,807/x
  3. Step 3: Cross multiply
    5,186x = 6,807 × 6,807
  4. Step 4: Simplify right side
    5,186x = 46,335,249
  5. Step 5: Solve for x
    x = 46,335,249/5,186
  6. Step 6: Final answer
    x = 8,934.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.