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Finding the Third Proportional to 8,294 and 12,333

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Solution

The third proportional to 8,294 and 12,333 is: 18,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 12,333 = 12,333 : x
  2. Step 2: Convert to fraction form
    8,294/12,333 = 12,333/x
  3. Step 3: Cross multiply
    8,294x = 12,333 × 12,333
  4. Step 4: Simplify right side
    8,294x = 152,102,889
  5. Step 5: Solve for x
    x = 152,102,889/8,294
  6. Step 6: Final answer
    x = 18,338.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.