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Finding the Third Proportional to 2,463.38 and 3,720.56

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Solution

The third proportional to 2,463.38 and 3,720.56 is: 5,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.38 : 3,720.56 = 3,720.56 : x
  2. Step 2: Convert to fraction form
    2,463.38/3,720.56 = 3,720.56/x
  3. Step 3: Cross multiply
    2,463.38x = 3,720.56 × 3,720.56
  4. Step 4: Simplify right side
    2,463.38x = 13,842,585.32
  5. Step 5: Solve for x
    x = 13,842,585.32/2,463.38
  6. Step 6: Final answer
    x = 5,619.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.