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Finding the Third Proportional to 3,290 and 4,652

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Solution

The third proportional to 3,290 and 4,652 is: 6,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 4,652 = 4,652 : x
  2. Step 2: Convert to fraction form
    3,290/4,652 = 4,652/x
  3. Step 3: Cross multiply
    3,290x = 4,652 × 4,652
  4. Step 4: Simplify right side
    3,290x = 21,641,104
  5. Step 5: Solve for x
    x = 21,641,104/3,290
  6. Step 6: Final answer
    x = 6,577.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.