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Finding the Third Proportional to 2,175.33 and 3,273.19

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Solution

The third proportional to 2,175.33 and 3,273.19 is: 4,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.33 : 3,273.19 = 3,273.19 : x
  2. Step 2: Convert to fraction form
    2,175.33/3,273.19 = 3,273.19/x
  3. Step 3: Cross multiply
    2,175.33x = 3,273.19 × 3,273.19
  4. Step 4: Simplify right side
    2,175.33x = 10,713,756.41
  5. Step 5: Solve for x
    x = 10,713,756.41/2,175.33
  6. Step 6: Final answer
    x = 4,925.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.