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Finding the Third Proportional to 9,049.88 and 18,920.25

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Solution

The third proportional to 9,049.88 and 18,920.25 is: 39,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.88 : 18,920.25 = 18,920.25 : x
  2. Step 2: Convert to fraction form
    9,049.88/18,920.25 = 18,920.25/x
  3. Step 3: Cross multiply
    9,049.88x = 18,920.25 × 18,920.25
  4. Step 4: Simplify right side
    9,049.88x = 357,975,860.06
  5. Step 5: Solve for x
    x = 357,975,860.06/9,049.88
  6. Step 6: Final answer
    x = 39,555.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.