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Finding the Third Proportional to 7,638.75 and 18,488.25

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Solution

The third proportional to 7,638.75 and 18,488.25 is: 44,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.75 : 18,488.25 = 18,488.25 : x
  2. Step 2: Convert to fraction form
    7,638.75/18,488.25 = 18,488.25/x
  3. Step 3: Cross multiply
    7,638.75x = 18,488.25 × 18,488.25
  4. Step 4: Simplify right side
    7,638.75x = 341,815,388.06
  5. Step 5: Solve for x
    x = 341,815,388.06/7,638.75
  6. Step 6: Final answer
    x = 44,747.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.