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Finding the Third Proportional to 3,123.42 and 6,651.42

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Solution

The third proportional to 3,123.42 and 6,651.42 is: 14,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.42 : 6,651.42 = 6,651.42 : x
  2. Step 2: Convert to fraction form
    3,123.42/6,651.42 = 6,651.42/x
  3. Step 3: Cross multiply
    3,123.42x = 6,651.42 × 6,651.42
  4. Step 4: Simplify right side
    3,123.42x = 44,241,412.96
  5. Step 5: Solve for x
    x = 44,241,412.96/3,123.42
  6. Step 6: Final answer
    x = 14,164.41

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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.