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Finding the Third Proportional to 1,950.38 and 4,452.94

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Solution

The third proportional to 1,950.38 and 4,452.94 is: 10,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.38 : 4,452.94 = 4,452.94 : x
  2. Step 2: Convert to fraction form
    1,950.38/4,452.94 = 4,452.94/x
  3. Step 3: Cross multiply
    1,950.38x = 4,452.94 × 4,452.94
  4. Step 4: Simplify right side
    1,950.38x = 19,828,652.38
  5. Step 5: Solve for x
    x = 19,828,652.38/1,950.38
  6. Step 6: Final answer
    x = 10,166.58

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.