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Finding the Third Proportional to 2,290.50 and 3,045.38

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Solution

The third proportional to 2,290.50 and 3,045.38 is: 4,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.50 : 3,045.38 = 3,045.38 : x
  2. Step 2: Convert to fraction form
    2,290.50/3,045.38 = 3,045.38/x
  3. Step 3: Cross multiply
    2,290.50x = 3,045.38 × 3,045.38
  4. Step 4: Simplify right side
    2,290.50x = 9,274,308.89
  5. Step 5: Solve for x
    x = 9,274,308.89/2,290.50
  6. Step 6: Final answer
    x = 4,049.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.