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Finding the Third Proportional to 3,801.75 and 8,216.25

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Solution

The third proportional to 3,801.75 and 8,216.25 is: 17,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.75 : 8,216.25 = 8,216.25 : x
  2. Step 2: Convert to fraction form
    3,801.75/8,216.25 = 8,216.25/x
  3. Step 3: Cross multiply
    3,801.75x = 8,216.25 × 8,216.25
  4. Step 4: Simplify right side
    3,801.75x = 67,506,764.06
  5. Step 5: Solve for x
    x = 67,506,764.06/3,801.75
  6. Step 6: Final answer
    x = 17,756.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.