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Finding the Third Proportional to 3,704.50 and 7,490

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Solution

The third proportional to 3,704.50 and 7,490 is: 15,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.50 : 7,490 = 7,490 : x
  2. Step 2: Convert to fraction form
    3,704.50/7,490 = 7,490/x
  3. Step 3: Cross multiply
    3,704.50x = 7,490 × 7,490
  4. Step 4: Simplify right side
    3,704.50x = 56,100,100
  5. Step 5: Solve for x
    x = 56,100,100/3,704.50
  6. Step 6: Final answer
    x = 15,143.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.