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Finding the Third Proportional to 3,835 and 4,996.50

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Solution

The third proportional to 3,835 and 4,996.50 is: 6,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835 : 4,996.50 = 4,996.50 : x
  2. Step 2: Convert to fraction form
    3,835/4,996.50 = 4,996.50/x
  3. Step 3: Cross multiply
    3,835x = 4,996.50 × 4,996.50
  4. Step 4: Simplify right side
    3,835x = 24,965,012.25
  5. Step 5: Solve for x
    x = 24,965,012.25/3,835
  6. Step 6: Final answer
    x = 6,509.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.