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Finding the Third Proportional to 9,518 and 11,462

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Solution

The third proportional to 9,518 and 11,462 is: 13,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518 : 11,462 = 11,462 : x
  2. Step 2: Convert to fraction form
    9,518/11,462 = 11,462/x
  3. Step 3: Cross multiply
    9,518x = 11,462 × 11,462
  4. Step 4: Simplify right side
    9,518x = 131,377,444
  5. Step 5: Solve for x
    x = 131,377,444/9,518
  6. Step 6: Final answer
    x = 13,803.05

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.