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Finding the Third Proportional to 6,670 and 10,462

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Solution

The third proportional to 6,670 and 10,462 is: 16,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670 : 10,462 = 10,462 : x
  2. Step 2: Convert to fraction form
    6,670/10,462 = 10,462/x
  3. Step 3: Cross multiply
    6,670x = 10,462 × 10,462
  4. Step 4: Simplify right side
    6,670x = 109,453,444
  5. Step 5: Solve for x
    x = 109,453,444/6,670
  6. Step 6: Final answer
    x = 16,409.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.