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Finding the Third Proportional to 3,926.50 and 4,977.50

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Solution

The third proportional to 3,926.50 and 4,977.50 is: 6,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.50 : 4,977.50 = 4,977.50 : x
  2. Step 2: Convert to fraction form
    3,926.50/4,977.50 = 4,977.50/x
  3. Step 3: Cross multiply
    3,926.50x = 4,977.50 × 4,977.50
  4. Step 4: Simplify right side
    3,926.50x = 24,775,506.25
  5. Step 5: Solve for x
    x = 24,775,506.25/3,926.50
  6. Step 6: Final answer
    x = 6,309.82

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.