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Finding the Third Proportional to 2,214 and 4,071

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Solution

The third proportional to 2,214 and 4,071 is: 7,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 4,071 = 4,071 : x
  2. Step 2: Convert to fraction form
    2,214/4,071 = 4,071/x
  3. Step 3: Cross multiply
    2,214x = 4,071 × 4,071
  4. Step 4: Simplify right side
    2,214x = 16,573,041
  5. Step 5: Solve for x
    x = 16,573,041/2,214
  6. Step 6: Final answer
    x = 7,485.57

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.