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Finding the Third Proportional to 3,549.87 and 7,466.98

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Solution

The third proportional to 3,549.87 and 7,466.98 is: 15,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.87 : 7,466.98 = 7,466.98 : x
  2. Step 2: Convert to fraction form
    3,549.87/7,466.98 = 7,466.98/x
  3. Step 3: Cross multiply
    3,549.87x = 7,466.98 × 7,466.98
  4. Step 4: Simplify right side
    3,549.87x = 55,755,738.98
  5. Step 5: Solve for x
    x = 55,755,738.98/3,549.87
  6. Step 6: Final answer
    x = 15,706.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.