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Finding the Third Proportional to 13,942.13 and 23,419.13

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Solution

The third proportional to 13,942.13 and 23,419.13 is: 39,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.13 : 23,419.13 = 23,419.13 : x
  2. Step 2: Convert to fraction form
    13,942.13/23,419.13 = 23,419.13/x
  3. Step 3: Cross multiply
    13,942.13x = 23,419.13 × 23,419.13
  4. Step 4: Simplify right side
    13,942.13x = 548,455,415.77
  5. Step 5: Solve for x
    x = 548,455,415.77/13,942.13
  6. Step 6: Final answer
    x = 39,338.01

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.