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Finding the Third Proportional to 7,388 and 10,930

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Solution

The third proportional to 7,388 and 10,930 is: 16,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 10,930 = 10,930 : x
  2. Step 2: Convert to fraction form
    7,388/10,930 = 10,930/x
  3. Step 3: Cross multiply
    7,388x = 10,930 × 10,930
  4. Step 4: Simplify right side
    7,388x = 119,464,900
  5. Step 5: Solve for x
    x = 119,464,900/7,388
  6. Step 6: Final answer
    x = 16,170.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.