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Finding the Third Proportional to 2,270.75 and 5,306.75

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Solution

The third proportional to 2,270.75 and 5,306.75 is: 12,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.75 : 5,306.75 = 5,306.75 : x
  2. Step 2: Convert to fraction form
    2,270.75/5,306.75 = 5,306.75/x
  3. Step 3: Cross multiply
    2,270.75x = 5,306.75 × 5,306.75
  4. Step 4: Simplify right side
    2,270.75x = 28,161,595.56
  5. Step 5: Solve for x
    x = 28,161,595.56/2,270.75
  6. Step 6: Final answer
    x = 12,401.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.