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Finding the Third Proportional to 8,216 and 14,596

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Solution

The third proportional to 8,216 and 14,596 is: 25,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 14,596 = 14,596 : x
  2. Step 2: Convert to fraction form
    8,216/14,596 = 14,596/x
  3. Step 3: Cross multiply
    8,216x = 14,596 × 14,596
  4. Step 4: Simplify right side
    8,216x = 213,043,216
  5. Step 5: Solve for x
    x = 213,043,216/8,216
  6. Step 6: Final answer
    x = 25,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.