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Finding the Third Proportional to 7,284 and 13,144

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Solution

The third proportional to 7,284 and 13,144 is: 23,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 13,144 = 13,144 : x
  2. Step 2: Convert to fraction form
    7,284/13,144 = 13,144/x
  3. Step 3: Cross multiply
    7,284x = 13,144 × 13,144
  4. Step 4: Simplify right side
    7,284x = 172,764,736
  5. Step 5: Solve for x
    x = 172,764,736/7,284
  6. Step 6: Final answer
    x = 23,718.39

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.