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Finding the Third Proportional to 1,772.44 and 1,927.69

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Solution

The third proportional to 1,772.44 and 1,927.69 is: 2,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.44 : 1,927.69 = 1,927.69 : x
  2. Step 2: Convert to fraction form
    1,772.44/1,927.69 = 1,927.69/x
  3. Step 3: Cross multiply
    1,772.44x = 1,927.69 × 1,927.69
  4. Step 4: Simplify right side
    1,772.44x = 3,715,979.10
  5. Step 5: Solve for x
    x = 3,715,979.10/1,772.44
  6. Step 6: Final answer
    x = 2,096.54

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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.