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Finding the Third Proportional to 3,257.72 and 4,977.70

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Solution

The third proportional to 3,257.72 and 4,977.70 is: 7,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.72 : 4,977.70 = 4,977.70 : x
  2. Step 2: Convert to fraction form
    3,257.72/4,977.70 = 4,977.70/x
  3. Step 3: Cross multiply
    3,257.72x = 4,977.70 × 4,977.70
  4. Step 4: Simplify right side
    3,257.72x = 24,777,528.40
  5. Step 5: Solve for x
    x = 24,777,528.40/3,257.72
  6. Step 6: Final answer
    x = 7,605.79

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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.