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Finding the Third Proportional to 1,095.19 and 1,743.44

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Solution

The third proportional to 1,095.19 and 1,743.44 is: 2,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.19 : 1,743.44 = 1,743.44 : x
  2. Step 2: Convert to fraction form
    1,095.19/1,743.44 = 1,743.44/x
  3. Step 3: Cross multiply
    1,095.19x = 1,743.44 × 1,743.44
  4. Step 4: Simplify right side
    1,095.19x = 3,039,574.32
  5. Step 5: Solve for x
    x = 3,039,574.32/1,095.19
  6. Step 6: Final answer
    x = 2,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.