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Finding the Third Proportional to 8,596 and 13,620

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Solution

The third proportional to 8,596 and 13,620 is: 21,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 13,620 = 13,620 : x
  2. Step 2: Convert to fraction form
    8,596/13,620 = 13,620/x
  3. Step 3: Cross multiply
    8,596x = 13,620 × 13,620
  4. Step 4: Simplify right side
    8,596x = 185,504,400
  5. Step 5: Solve for x
    x = 185,504,400/8,596
  6. Step 6: Final answer
    x = 21,580.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.