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Finding the Third Proportional to 1,815.75 and 1,952.44

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Solution

The third proportional to 1,815.75 and 1,952.44 is: 2,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 1,952.44 = 1,952.44 : x
  2. Step 2: Convert to fraction form
    1,815.75/1,952.44 = 1,952.44/x
  3. Step 3: Cross multiply
    1,815.75x = 1,952.44 × 1,952.44
  4. Step 4: Simplify right side
    1,815.75x = 3,812,012.19
  5. Step 5: Solve for x
    x = 3,812,012.19/1,815.75
  6. Step 6: Final answer
    x = 2,099.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.