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Finding the Third Proportional to 1,775.67 and 3,395.67

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Solution

The third proportional to 1,775.67 and 3,395.67 is: 6,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.67 : 3,395.67 = 3,395.67 : x
  2. Step 2: Convert to fraction form
    1,775.67/3,395.67 = 3,395.67/x
  3. Step 3: Cross multiply
    1,775.67x = 3,395.67 × 3,395.67
  4. Step 4: Simplify right side
    1,775.67x = 11,530,587.48
  5. Step 5: Solve for x
    x = 11,530,587.48/1,775.67
  6. Step 6: Final answer
    x = 6,493.65

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.