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Finding the Third Proportional to 3,277 and 4,773.50

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Solution

The third proportional to 3,277 and 4,773.50 is: 6,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277 : 4,773.50 = 4,773.50 : x
  2. Step 2: Convert to fraction form
    3,277/4,773.50 = 4,773.50/x
  3. Step 3: Cross multiply
    3,277x = 4,773.50 × 4,773.50
  4. Step 4: Simplify right side
    3,277x = 22,786,302.25
  5. Step 5: Solve for x
    x = 22,786,302.25/3,277
  6. Step 6: Final answer
    x = 6,953.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.