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Finding the Third Proportional to 3,537.42 and 5,471.93

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Solution

The third proportional to 3,537.42 and 5,471.93 is: 8,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.42 : 5,471.93 = 5,471.93 : x
  2. Step 2: Convert to fraction form
    3,537.42/5,471.93 = 5,471.93/x
  3. Step 3: Cross multiply
    3,537.42x = 5,471.93 × 5,471.93
  4. Step 4: Simplify right side
    3,537.42x = 29,942,014.50
  5. Step 5: Solve for x
    x = 29,942,014.50/3,537.42
  6. Step 6: Final answer
    x = 8,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.