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Finding the Third Proportional to 1,185.80 and 1,905.26

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Solution

The third proportional to 1,185.80 and 1,905.26 is: 3,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.80 : 1,905.26 = 1,905.26 : x
  2. Step 2: Convert to fraction form
    1,185.80/1,905.26 = 1,905.26/x
  3. Step 3: Cross multiply
    1,185.80x = 1,905.26 × 1,905.26
  4. Step 4: Simplify right side
    1,185.80x = 3,630,007.33
  5. Step 5: Solve for x
    x = 3,630,007.33/1,185.80
  6. Step 6: Final answer
    x = 3,061.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.