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Finding the Third Proportional to 2,052 and 2,212

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Solution

The third proportional to 2,052 and 2,212 is: 2,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 2,212 = 2,212 : x
  2. Step 2: Convert to fraction form
    2,052/2,212 = 2,212/x
  3. Step 3: Cross multiply
    2,052x = 2,212 × 2,212
  4. Step 4: Simplify right side
    2,052x = 4,892,944
  5. Step 5: Solve for x
    x = 4,892,944/2,052
  6. Step 6: Final answer
    x = 2,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.