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Finding the Third Proportional to 7,078 and 7,726

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Solution

The third proportional to 7,078 and 7,726 is: 8,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 7,726 = 7,726 : x
  2. Step 2: Convert to fraction form
    7,078/7,726 = 7,726/x
  3. Step 3: Cross multiply
    7,078x = 7,726 × 7,726
  4. Step 4: Simplify right side
    7,078x = 59,691,076
  5. Step 5: Solve for x
    x = 59,691,076/7,078
  6. Step 6: Final answer
    x = 8,433.33

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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.