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Finding the Third Proportional to 2,011.92 and 2,214.42

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Solution

The third proportional to 2,011.92 and 2,214.42 is: 2,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.92 : 2,214.42 = 2,214.42 : x
  2. Step 2: Convert to fraction form
    2,011.92/2,214.42 = 2,214.42/x
  3. Step 3: Cross multiply
    2,011.92x = 2,214.42 × 2,214.42
  4. Step 4: Simplify right side
    2,011.92x = 4,903,664.24
  5. Step 5: Solve for x
    x = 4,903,664.24/2,011.92
  6. Step 6: Final answer
    x = 2,437.30

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.