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Finding the Third Proportional to 4,264.88 and 7,401.38

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Solution

The third proportional to 4,264.88 and 7,401.38 is: 12,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.88 : 7,401.38 = 7,401.38 : x
  2. Step 2: Convert to fraction form
    4,264.88/7,401.38 = 7,401.38/x
  3. Step 3: Cross multiply
    4,264.88x = 7,401.38 × 7,401.38
  4. Step 4: Simplify right side
    4,264.88x = 54,780,351.89
  5. Step 5: Solve for x
    x = 54,780,351.89/4,264.88
  6. Step 6: Final answer
    x = 12,844.54

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.