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Finding the Third Proportional to 1,692 and 3,050

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Solution

The third proportional to 1,692 and 3,050 is: 5,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692 : 3,050 = 3,050 : x
  2. Step 2: Convert to fraction form
    1,692/3,050 = 3,050/x
  3. Step 3: Cross multiply
    1,692x = 3,050 × 3,050
  4. Step 4: Simplify right side
    1,692x = 9,302,500
  5. Step 5: Solve for x
    x = 9,302,500/1,692
  6. Step 6: Final answer
    x = 5,497.93

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.