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Finding the Third Proportional to 6,969.75 and 10,932

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Solution

The third proportional to 6,969.75 and 10,932 is: 17,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.75 : 10,932 = 10,932 : x
  2. Step 2: Convert to fraction form
    6,969.75/10,932 = 10,932/x
  3. Step 3: Cross multiply
    6,969.75x = 10,932 × 10,932
  4. Step 4: Simplify right side
    6,969.75x = 119,508,624
  5. Step 5: Solve for x
    x = 119,508,624/6,969.75
  6. Step 6: Final answer
    x = 17,146.76

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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.