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Finding the Third Proportional to 2,033 and 2,213

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Solution

The third proportional to 2,033 and 2,213 is: 2,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 2,213 = 2,213 : x
  2. Step 2: Convert to fraction form
    2,033/2,213 = 2,213/x
  3. Step 3: Cross multiply
    2,033x = 2,213 × 2,213
  4. Step 4: Simplify right side
    2,033x = 4,897,369
  5. Step 5: Solve for x
    x = 4,897,369/2,033
  6. Step 6: Final answer
    x = 2,408.94

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.