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Finding the Third Proportional to 1,959.19 and 3,100.78

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Solution

The third proportional to 1,959.19 and 3,100.78 is: 4,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.19 : 3,100.78 = 3,100.78 : x
  2. Step 2: Convert to fraction form
    1,959.19/3,100.78 = 3,100.78/x
  3. Step 3: Cross multiply
    1,959.19x = 3,100.78 × 3,100.78
  4. Step 4: Simplify right side
    1,959.19x = 9,614,844.36
  5. Step 5: Solve for x
    x = 9,614,844.36/1,959.19
  6. Step 6: Final answer
    x = 4,907.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.