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Finding the Third Proportional to 8,824 and 13,274

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Solution

The third proportional to 8,824 and 13,274 is: 19,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824 : 13,274 = 13,274 : x
  2. Step 2: Convert to fraction form
    8,824/13,274 = 13,274/x
  3. Step 3: Cross multiply
    8,824x = 13,274 × 13,274
  4. Step 4: Simplify right side
    8,824x = 176,199,076
  5. Step 5: Solve for x
    x = 176,199,076/8,824
  6. Step 6: Final answer
    x = 19,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.