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Finding the Third Proportional to 3,209.63 and 4,818.94

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Solution

The third proportional to 3,209.63 and 4,818.94 is: 7,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.63 : 4,818.94 = 4,818.94 : x
  2. Step 2: Convert to fraction form
    3,209.63/4,818.94 = 4,818.94/x
  3. Step 3: Cross multiply
    3,209.63x = 4,818.94 × 4,818.94
  4. Step 4: Simplify right side
    3,209.63x = 23,222,158.63
  5. Step 5: Solve for x
    x = 23,222,158.63/3,209.63
  6. Step 6: Final answer
    x = 7,235.16

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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.