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Finding the Third Proportional to 2,630.25 and 3,893.63

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Solution

The third proportional to 2,630.25 and 3,893.63 is: 5,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.25 : 3,893.63 = 3,893.63 : x
  2. Step 2: Convert to fraction form
    2,630.25/3,893.63 = 3,893.63/x
  3. Step 3: Cross multiply
    2,630.25x = 3,893.63 × 3,893.63
  4. Step 4: Simplify right side
    2,630.25x = 15,160,315.64
  5. Step 5: Solve for x
    x = 15,160,315.64/2,630.25
  6. Step 6: Final answer
    x = 5,763.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.