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Finding the Third Proportional to 13,194 and 28,469

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Solution

The third proportional to 13,194 and 28,469 is: 61,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 28,469 = 28,469 : x
  2. Step 2: Convert to fraction form
    13,194/28,469 = 28,469/x
  3. Step 3: Cross multiply
    13,194x = 28,469 × 28,469
  4. Step 4: Simplify right side
    13,194x = 810,483,961
  5. Step 5: Solve for x
    x = 810,483,961/13,194
  6. Step 6: Final answer
    x = 61,428.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.