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Finding the Third Proportional to 3,740.34 and 4,287.09

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Solution

The third proportional to 3,740.34 and 4,287.09 is: 4,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.34 : 4,287.09 = 4,287.09 : x
  2. Step 2: Convert to fraction form
    3,740.34/4,287.09 = 4,287.09/x
  3. Step 3: Cross multiply
    3,740.34x = 4,287.09 × 4,287.09
  4. Step 4: Simplify right side
    3,740.34x = 18,379,172.82
  5. Step 5: Solve for x
    x = 18,379,172.82/3,740.34
  6. Step 6: Final answer
    x = 4,913.77

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.