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Finding the Third Proportional to 1,867.22 and 3,977.44

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Solution

The third proportional to 1,867.22 and 3,977.44 is: 8,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.22 : 3,977.44 = 3,977.44 : x
  2. Step 2: Convert to fraction form
    1,867.22/3,977.44 = 3,977.44/x
  3. Step 3: Cross multiply
    1,867.22x = 3,977.44 × 3,977.44
  4. Step 4: Simplify right side
    1,867.22x = 15,820,009.07
  5. Step 5: Solve for x
    x = 15,820,009.07/1,867.22
  6. Step 6: Final answer
    x = 8,472.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.