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Finding the Third Proportional to 3,200.63 and 4,182.19

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Solution

The third proportional to 3,200.63 and 4,182.19 is: 5,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.63 : 4,182.19 = 4,182.19 : x
  2. Step 2: Convert to fraction form
    3,200.63/4,182.19 = 4,182.19/x
  3. Step 3: Cross multiply
    3,200.63x = 4,182.19 × 4,182.19
  4. Step 4: Simplify right side
    3,200.63x = 17,490,692.29
  5. Step 5: Solve for x
    x = 17,490,692.29/3,200.63
  6. Step 6: Final answer
    x = 5,464.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.