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Finding the Third Proportional to 1,375.38 and 3,024.25

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Solution

The third proportional to 1,375.38 and 3,024.25 is: 6,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.38 : 3,024.25 = 3,024.25 : x
  2. Step 2: Convert to fraction form
    1,375.38/3,024.25 = 3,024.25/x
  3. Step 3: Cross multiply
    1,375.38x = 3,024.25 × 3,024.25
  4. Step 4: Simplify right side
    1,375.38x = 9,146,088.06
  5. Step 5: Solve for x
    x = 9,146,088.06/1,375.38
  6. Step 6: Final answer
    x = 6,649.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.