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Finding the Third Proportional to 1,463.06 and 3,453.56

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Solution

The third proportional to 1,463.06 and 3,453.56 is: 8,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.06 : 3,453.56 = 3,453.56 : x
  2. Step 2: Convert to fraction form
    1,463.06/3,453.56 = 3,453.56/x
  3. Step 3: Cross multiply
    1,463.06x = 3,453.56 × 3,453.56
  4. Step 4: Simplify right side
    1,463.06x = 11,927,093.94
  5. Step 5: Solve for x
    x = 11,927,093.94/1,463.06
  6. Step 6: Final answer
    x = 8,152.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.