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Finding the Third Proportional to 1,783.69 and 2,893.22

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Solution

The third proportional to 1,783.69 and 2,893.22 is: 4,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.69 : 2,893.22 = 2,893.22 : x
  2. Step 2: Convert to fraction form
    1,783.69/2,893.22 = 2,893.22/x
  3. Step 3: Cross multiply
    1,783.69x = 2,893.22 × 2,893.22
  4. Step 4: Simplify right side
    1,783.69x = 8,370,714.74
  5. Step 5: Solve for x
    x = 8,370,714.74/1,783.69
  6. Step 6: Final answer
    x = 4,692.93

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.