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Finding the Third Proportional to 1,782.84 and 4,017.09

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Solution

The third proportional to 1,782.84 and 4,017.09 is: 9,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.84 : 4,017.09 = 4,017.09 : x
  2. Step 2: Convert to fraction form
    1,782.84/4,017.09 = 4,017.09/x
  3. Step 3: Cross multiply
    1,782.84x = 4,017.09 × 4,017.09
  4. Step 4: Simplify right side
    1,782.84x = 16,137,042.20
  5. Step 5: Solve for x
    x = 16,137,042.20/1,782.84
  6. Step 6: Final answer
    x = 9,051.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.