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Finding the Third Proportional to 1,385.44 and 2,950.59

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Solution

The third proportional to 1,385.44 and 2,950.59 is: 6,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.44 : 2,950.59 = 2,950.59 : x
  2. Step 2: Convert to fraction form
    1,385.44/2,950.59 = 2,950.59/x
  3. Step 3: Cross multiply
    1,385.44x = 2,950.59 × 2,950.59
  4. Step 4: Simplify right side
    1,385.44x = 8,706,003.48
  5. Step 5: Solve for x
    x = 8,706,003.48/1,385.44
  6. Step 6: Final answer
    x = 6,283.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.