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Finding the Third Proportional to 13,942.13 and 30,447.14

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Solution

The third proportional to 13,942.13 and 30,447.14 is: 66,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.13 : 30,447.14 = 30,447.14 : x
  2. Step 2: Convert to fraction form
    13,942.13/30,447.14 = 30,447.14/x
  3. Step 3: Cross multiply
    13,942.13x = 30,447.14 × 30,447.14
  4. Step 4: Simplify right side
    13,942.13x = 927,028,372.24
  5. Step 5: Solve for x
    x = 927,028,372.24/13,942.13
  6. Step 6: Final answer
    x = 66,491.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.