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Finding the Third Proportional to 8,616 and 13,796

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Solution

The third proportional to 8,616 and 13,796 is: 22,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616 : 13,796 = 13,796 : x
  2. Step 2: Convert to fraction form
    8,616/13,796 = 13,796/x
  3. Step 3: Cross multiply
    8,616x = 13,796 × 13,796
  4. Step 4: Simplify right side
    8,616x = 190,329,616
  5. Step 5: Solve for x
    x = 190,329,616/8,616
  6. Step 6: Final answer
    x = 22,090.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.