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Finding the Third Proportional to 5,212 and 8,522

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Solution

The third proportional to 5,212 and 8,522 is: 13,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 8,522 = 8,522 : x
  2. Step 2: Convert to fraction form
    5,212/8,522 = 8,522/x
  3. Step 3: Cross multiply
    5,212x = 8,522 × 8,522
  4. Step 4: Simplify right side
    5,212x = 72,624,484
  5. Step 5: Solve for x
    x = 72,624,484/5,212
  6. Step 6: Final answer
    x = 13,934.09

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.