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Finding the Third Proportional to 3,577.64 and 5,472.98

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Solution

The third proportional to 3,577.64 and 5,472.98 is: 8,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.64 : 5,472.98 = 5,472.98 : x
  2. Step 2: Convert to fraction form
    3,577.64/5,472.98 = 5,472.98/x
  3. Step 3: Cross multiply
    3,577.64x = 5,472.98 × 5,472.98
  4. Step 4: Simplify right side
    3,577.64x = 29,953,557.97
  5. Step 5: Solve for x
    x = 29,953,557.97/3,577.64
  6. Step 6: Final answer
    x = 8,372.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.