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Finding the Third Proportional to 2,446.13 and 3,463.31

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Solution

The third proportional to 2,446.13 and 3,463.31 is: 4,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.13 : 3,463.31 = 3,463.31 : x
  2. Step 2: Convert to fraction form
    2,446.13/3,463.31 = 3,463.31/x
  3. Step 3: Cross multiply
    2,446.13x = 3,463.31 × 3,463.31
  4. Step 4: Simplify right side
    2,446.13x = 11,994,533.47
  5. Step 5: Solve for x
    x = 11,994,533.47/2,446.13
  6. Step 6: Final answer
    x = 4,903.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.