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Finding the Third Proportional to 5,144 and 7,284

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Solution

The third proportional to 5,144 and 7,284 is: 10,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144 : 7,284 = 7,284 : x
  2. Step 2: Convert to fraction form
    5,144/7,284 = 7,284/x
  3. Step 3: Cross multiply
    5,144x = 7,284 × 7,284
  4. Step 4: Simplify right side
    5,144x = 53,056,656
  5. Step 5: Solve for x
    x = 53,056,656/5,144
  6. Step 6: Final answer
    x = 10,314.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.