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Finding the Third Proportional to 3,403.25 and 5,482.63

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Solution

The third proportional to 3,403.25 and 5,482.63 is: 8,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.25 : 5,482.63 = 5,482.63 : x
  2. Step 2: Convert to fraction form
    3,403.25/5,482.63 = 5,482.63/x
  3. Step 3: Cross multiply
    3,403.25x = 5,482.63 × 5,482.63
  4. Step 4: Simplify right side
    3,403.25x = 30,059,176.89
  5. Step 5: Solve for x
    x = 30,059,176.89/3,403.25
  6. Step 6: Final answer
    x = 8,832.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.