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Finding the Third Proportional to 3,054 and 7,284

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Solution

The third proportional to 3,054 and 7,284 is: 17,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054 : 7,284 = 7,284 : x
  2. Step 2: Convert to fraction form
    3,054/7,284 = 7,284/x
  3. Step 3: Cross multiply
    3,054x = 7,284 × 7,284
  4. Step 4: Simplify right side
    3,054x = 53,056,656
  5. Step 5: Solve for x
    x = 53,056,656/3,054
  6. Step 6: Final answer
    x = 17,372.84

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.