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Finding the Third Proportional to 13,354 and 30,914

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Solution

The third proportional to 13,354 and 30,914 is: 71,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354 : 30,914 = 30,914 : x
  2. Step 2: Convert to fraction form
    13,354/30,914 = 30,914/x
  3. Step 3: Cross multiply
    13,354x = 30,914 × 30,914
  4. Step 4: Simplify right side
    13,354x = 955,675,396
  5. Step 5: Solve for x
    x = 955,675,396/13,354
  6. Step 6: Final answer
    x = 71,564.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.