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Finding the Third Proportional to 1,905.19 and 4,186.69

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Solution

The third proportional to 1,905.19 and 4,186.69 is: 9,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.19 : 4,186.69 = 4,186.69 : x
  2. Step 2: Convert to fraction form
    1,905.19/4,186.69 = 4,186.69/x
  3. Step 3: Cross multiply
    1,905.19x = 4,186.69 × 4,186.69
  4. Step 4: Simplify right side
    1,905.19x = 17,528,352.22
  5. Step 5: Solve for x
    x = 17,528,352.22/1,905.19
  6. Step 6: Final answer
    x = 9,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.