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Finding the Third Proportional to 1,783.27 and 1,945.27

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Solution

The third proportional to 1,783.27 and 1,945.27 is: 2,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.27 : 1,945.27 = 1,945.27 : x
  2. Step 2: Convert to fraction form
    1,783.27/1,945.27 = 1,945.27/x
  3. Step 3: Cross multiply
    1,783.27x = 1,945.27 × 1,945.27
  4. Step 4: Simplify right side
    1,783.27x = 3,784,058.35
  5. Step 5: Solve for x
    x = 3,784,058.35/1,783.27
  6. Step 6: Final answer
    x = 2,121.98

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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.