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Finding the Third Proportional to 1,821.94 and 1,953.56

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Solution

The third proportional to 1,821.94 and 1,953.56 is: 2,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.94 : 1,953.56 = 1,953.56 : x
  2. Step 2: Convert to fraction form
    1,821.94/1,953.56 = 1,953.56/x
  3. Step 3: Cross multiply
    1,821.94x = 1,953.56 × 1,953.56
  4. Step 4: Simplify right side
    1,821.94x = 3,816,406.44
  5. Step 5: Solve for x
    x = 3,816,406.44/1,821.94
  6. Step 6: Final answer
    x = 2,094.70

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.