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Finding the Third Proportional to 13,496 and 14,616

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Solution

The third proportional to 13,496 and 14,616 is: 15,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496 : 14,616 = 14,616 : x
  2. Step 2: Convert to fraction form
    13,496/14,616 = 14,616/x
  3. Step 3: Cross multiply
    13,496x = 14,616 × 14,616
  4. Step 4: Simplify right side
    13,496x = 213,627,456
  5. Step 5: Solve for x
    x = 213,627,456/13,496
  6. Step 6: Final answer
    x = 15,828.95

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.