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Finding the Third Proportional to 3,283.45 and 4,913.58

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Solution

The third proportional to 3,283.45 and 4,913.58 is: 7,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.45 : 4,913.58 = 4,913.58 : x
  2. Step 2: Convert to fraction form
    3,283.45/4,913.58 = 4,913.58/x
  3. Step 3: Cross multiply
    3,283.45x = 4,913.58 × 4,913.58
  4. Step 4: Simplify right side
    3,283.45x = 24,143,249.99
  5. Step 5: Solve for x
    x = 24,143,249.99/3,283.45
  6. Step 6: Final answer
    x = 7,353.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.