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Finding the Third Proportional to 3,078 and 6,789

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Solution

The third proportional to 3,078 and 6,789 is: 14,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 6,789 = 6,789 : x
  2. Step 2: Convert to fraction form
    3,078/6,789 = 6,789/x
  3. Step 3: Cross multiply
    3,078x = 6,789 × 6,789
  4. Step 4: Simplify right side
    3,078x = 46,090,521
  5. Step 5: Solve for x
    x = 46,090,521/3,078
  6. Step 6: Final answer
    x = 14,974.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.