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Finding the Third Proportional to 13,288 and 15,736

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Solution

The third proportional to 13,288 and 15,736 is: 18,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288 : 15,736 = 15,736 : x
  2. Step 2: Convert to fraction form
    13,288/15,736 = 15,736/x
  3. Step 3: Cross multiply
    13,288x = 15,736 × 15,736
  4. Step 4: Simplify right side
    13,288x = 247,621,696
  5. Step 5: Solve for x
    x = 247,621,696/13,288
  6. Step 6: Final answer
    x = 18,634.99

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.