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Finding the Third Proportional to 3,351.69 and 4,930.72

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Solution

The third proportional to 3,351.69 and 4,930.72 is: 7,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.69 : 4,930.72 = 4,930.72 : x
  2. Step 2: Convert to fraction form
    3,351.69/4,930.72 = 4,930.72/x
  3. Step 3: Cross multiply
    3,351.69x = 4,930.72 × 4,930.72
  4. Step 4: Simplify right side
    3,351.69x = 24,311,968.13
  5. Step 5: Solve for x
    x = 24,311,968.13/3,351.69
  6. Step 6: Final answer
    x = 7,253.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.