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Finding the Third Proportional to 7,300 and 10,694

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Solution

The third proportional to 7,300 and 10,694 is: 15,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300 : 10,694 = 10,694 : x
  2. Step 2: Convert to fraction form
    7,300/10,694 = 10,694/x
  3. Step 3: Cross multiply
    7,300x = 10,694 × 10,694
  4. Step 4: Simplify right side
    7,300x = 114,361,636
  5. Step 5: Solve for x
    x = 114,361,636/7,300
  6. Step 6: Final answer
    x = 15,665.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.