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Finding the Third Proportional to 1,871.25 and 2,863.88

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Solution

The third proportional to 1,871.25 and 2,863.88 is: 4,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.25 : 2,863.88 = 2,863.88 : x
  2. Step 2: Convert to fraction form
    1,871.25/2,863.88 = 2,863.88/x
  3. Step 3: Cross multiply
    1,871.25x = 2,863.88 × 2,863.88
  4. Step 4: Simplify right side
    1,871.25x = 8,201,780.02
  5. Step 5: Solve for x
    x = 8,201,780.02/1,871.25
  6. Step 6: Final answer
    x = 4,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.