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Finding the Third Proportional to 2,405.38 and 3,608.13

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Solution

The third proportional to 2,405.38 and 3,608.13 is: 5,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.38 : 3,608.13 = 3,608.13 : x
  2. Step 2: Convert to fraction form
    2,405.38/3,608.13 = 3,608.13/x
  3. Step 3: Cross multiply
    2,405.38x = 3,608.13 × 3,608.13
  4. Step 4: Simplify right side
    2,405.38x = 13,018,566.02
  5. Step 5: Solve for x
    x = 13,018,566.02/2,405.38
  6. Step 6: Final answer
    x = 5,412.28

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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.