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Finding the Third Proportional to 2,219.75 and 3,123.88

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Solution

The third proportional to 2,219.75 and 3,123.88 is: 4,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.75 : 3,123.88 = 3,123.88 : x
  2. Step 2: Convert to fraction form
    2,219.75/3,123.88 = 3,123.88/x
  3. Step 3: Cross multiply
    2,219.75x = 3,123.88 × 3,123.88
  4. Step 4: Simplify right side
    2,219.75x = 9,758,619.42
  5. Step 5: Solve for x
    x = 9,758,619.42/2,219.75
  6. Step 6: Final answer
    x = 4,396.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.