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Finding the Third Proportional to 1,874 and 3,107.50

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Solution

The third proportional to 1,874 and 3,107.50 is: 5,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874 : 3,107.50 = 3,107.50 : x
  2. Step 2: Convert to fraction form
    1,874/3,107.50 = 3,107.50/x
  3. Step 3: Cross multiply
    1,874x = 3,107.50 × 3,107.50
  4. Step 4: Simplify right side
    1,874x = 9,656,556.25
  5. Step 5: Solve for x
    x = 9,656,556.25/1,874
  6. Step 6: Final answer
    x = 5,152.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.