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Finding the Third Proportional to 13,269 and 28,999

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Solution

The third proportional to 13,269 and 28,999 is: 63,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269 : 28,999 = 28,999 : x
  2. Step 2: Convert to fraction form
    13,269/28,999 = 28,999/x
  3. Step 3: Cross multiply
    13,269x = 28,999 × 28,999
  4. Step 4: Simplify right side
    13,269x = 840,942,001
  5. Step 5: Solve for x
    x = 840,942,001/13,269
  6. Step 6: Final answer
    x = 63,376.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.