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Finding the Third Proportional to 6,278 and 6,854

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Solution

The third proportional to 6,278 and 6,854 is: 7,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278 : 6,854 = 6,854 : x
  2. Step 2: Convert to fraction form
    6,278/6,854 = 6,854/x
  3. Step 3: Cross multiply
    6,278x = 6,854 × 6,854
  4. Step 4: Simplify right side
    6,278x = 46,977,316
  5. Step 5: Solve for x
    x = 46,977,316/6,278
  6. Step 6: Final answer
    x = 7,482.85

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.