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Finding the Third Proportional to 2,175.38 and 3,273.38

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Solution

The third proportional to 2,175.38 and 3,273.38 is: 4,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.38 : 3,273.38 = 3,273.38 : x
  2. Step 2: Convert to fraction form
    2,175.38/3,273.38 = 3,273.38/x
  3. Step 3: Cross multiply
    2,175.38x = 3,273.38 × 3,273.38
  4. Step 4: Simplify right side
    2,175.38x = 10,714,983.89
  5. Step 5: Solve for x
    x = 10,714,983.89/2,175.38
  6. Step 6: Final answer
    x = 4,925.58

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