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Finding the Third Proportional to 2,180.25 and 3,317.63

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Solution

The third proportional to 2,180.25 and 3,317.63 is: 5,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.25 : 3,317.63 = 3,317.63 : x
  2. Step 2: Convert to fraction form
    2,180.25/3,317.63 = 3,317.63/x
  3. Step 3: Cross multiply
    2,180.25x = 3,317.63 × 3,317.63
  4. Step 4: Simplify right side
    2,180.25x = 11,006,635.64
  5. Step 5: Solve for x
    x = 11,006,635.64/2,180.25
  6. Step 6: Final answer
    x = 5,048.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.