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Finding the Third Proportional to 13,529 and 28,969

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Solution

The third proportional to 13,529 and 28,969 is: 62,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 28,969 = 28,969 : x
  2. Step 2: Convert to fraction form
    13,529/28,969 = 28,969/x
  3. Step 3: Cross multiply
    13,529x = 28,969 × 28,969
  4. Step 4: Simplify right side
    13,529x = 839,202,961
  5. Step 5: Solve for x
    x = 839,202,961/13,529
  6. Step 6: Final answer
    x = 62,029.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.