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Finding the Third Proportional to 2,050 and 4,222

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Solution

The third proportional to 2,050 and 4,222 is: 8,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 4,222 = 4,222 : x
  2. Step 2: Convert to fraction form
    2,050/4,222 = 4,222/x
  3. Step 3: Cross multiply
    2,050x = 4,222 × 4,222
  4. Step 4: Simplify right side
    2,050x = 17,825,284
  5. Step 5: Solve for x
    x = 17,825,284/2,050
  6. Step 6: Final answer
    x = 8,695.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.