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Finding the Third Proportional to 1,934.88 and 2,950.38

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Solution

The third proportional to 1,934.88 and 2,950.38 is: 4,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.88 : 2,950.38 = 2,950.38 : x
  2. Step 2: Convert to fraction form
    1,934.88/2,950.38 = 2,950.38/x
  3. Step 3: Cross multiply
    1,934.88x = 2,950.38 × 2,950.38
  4. Step 4: Simplify right side
    1,934.88x = 8,704,712.64
  5. Step 5: Solve for x
    x = 8,704,712.64/1,934.88
  6. Step 6: Final answer
    x = 4,498.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.