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Finding the Third Proportional to 10,355.34 and 21,942.14

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Solution

The third proportional to 10,355.34 and 21,942.14 is: 46,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.34 : 21,942.14 = 21,942.14 : x
  2. Step 2: Convert to fraction form
    10,355.34/21,942.14 = 21,942.14/x
  3. Step 3: Cross multiply
    10,355.34x = 21,942.14 × 21,942.14
  4. Step 4: Simplify right side
    10,355.34x = 481,457,535.21
  5. Step 5: Solve for x
    x = 481,457,535.21/10,355.34
  6. Step 6: Final answer
    x = 46,493.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.