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Finding the Third Proportional to 2,023.19 and 3,179.06

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Solution

The third proportional to 2,023.19 and 3,179.06 is: 4,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.19 : 3,179.06 = 3,179.06 : x
  2. Step 2: Convert to fraction form
    2,023.19/3,179.06 = 3,179.06/x
  3. Step 3: Cross multiply
    2,023.19x = 3,179.06 × 3,179.06
  4. Step 4: Simplify right side
    2,023.19x = 10,106,438.38
  5. Step 5: Solve for x
    x = 10,106,438.38/2,023.19
  6. Step 6: Final answer
    x = 4,995.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.