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Finding the Third Proportional to 1,162.50 and 1,917.75

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Solution

The third proportional to 1,162.50 and 1,917.75 is: 3,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.50 : 1,917.75 = 1,917.75 : x
  2. Step 2: Convert to fraction form
    1,162.50/1,917.75 = 1,917.75/x
  3. Step 3: Cross multiply
    1,162.50x = 1,917.75 × 1,917.75
  4. Step 4: Simplify right side
    1,162.50x = 3,677,765.06
  5. Step 5: Solve for x
    x = 3,677,765.06/1,162.50
  6. Step 6: Final answer
    x = 3,163.67

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.