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Finding the Third Proportional to 2,011.94 and 2,945.88

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Solution

The third proportional to 2,011.94 and 2,945.88 is: 4,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.94 : 2,945.88 = 2,945.88 : x
  2. Step 2: Convert to fraction form
    2,011.94/2,945.88 = 2,945.88/x
  3. Step 3: Cross multiply
    2,011.94x = 2,945.88 × 2,945.88
  4. Step 4: Simplify right side
    2,011.94x = 8,678,179.52
  5. Step 5: Solve for x
    x = 8,678,179.52/2,011.94
  6. Step 6: Final answer
    x = 4,313.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.