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Finding the Third Proportional to 4,482.21 and 5,722.37

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Solution

The third proportional to 4,482.21 and 5,722.37 is: 7,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.21 : 5,722.37 = 5,722.37 : x
  2. Step 2: Convert to fraction form
    4,482.21/5,722.37 = 5,722.37/x
  3. Step 3: Cross multiply
    4,482.21x = 5,722.37 × 5,722.37
  4. Step 4: Simplify right side
    4,482.21x = 32,745,463.88
  5. Step 5: Solve for x
    x = 32,745,463.88/4,482.21
  6. Step 6: Final answer
    x = 7,305.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.