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Finding the Third Proportional to 4,633.31 and 7,209.42

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Solution

The third proportional to 4,633.31 and 7,209.42 is: 11,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.31 : 7,209.42 = 7,209.42 : x
  2. Step 2: Convert to fraction form
    4,633.31/7,209.42 = 7,209.42/x
  3. Step 3: Cross multiply
    4,633.31x = 7,209.42 × 7,209.42
  4. Step 4: Simplify right side
    4,633.31x = 51,975,763.77
  5. Step 5: Solve for x
    x = 51,975,763.77/4,633.31
  6. Step 6: Final answer
    x = 11,217.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.