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Finding the Third Proportional to 3,392 and 7,356

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Solution

The third proportional to 3,392 and 7,356 is: 15,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392 : 7,356 = 7,356 : x
  2. Step 2: Convert to fraction form
    3,392/7,356 = 7,356/x
  3. Step 3: Cross multiply
    3,392x = 7,356 × 7,356
  4. Step 4: Simplify right side
    3,392x = 54,110,736
  5. Step 5: Solve for x
    x = 54,110,736/3,392
  6. Step 6: Final answer
    x = 15,952.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.