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Finding the Third Proportional to 3,021.75 and 6,406.50

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Solution

The third proportional to 3,021.75 and 6,406.50 is: 13,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.75 : 6,406.50 = 6,406.50 : x
  2. Step 2: Convert to fraction form
    3,021.75/6,406.50 = 6,406.50/x
  3. Step 3: Cross multiply
    3,021.75x = 6,406.50 × 6,406.50
  4. Step 4: Simplify right side
    3,021.75x = 41,043,242.25
  5. Step 5: Solve for x
    x = 41,043,242.25/3,021.75
  6. Step 6: Final answer
    x = 13,582.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.