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Finding the Third Proportional to 10,824 and 14,644

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Solution

The third proportional to 10,824 and 14,644 is: 19,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824 : 14,644 = 14,644 : x
  2. Step 2: Convert to fraction form
    10,824/14,644 = 14,644/x
  3. Step 3: Cross multiply
    10,824x = 14,644 × 14,644
  4. Step 4: Simplify right side
    10,824x = 214,446,736
  5. Step 5: Solve for x
    x = 214,446,736/10,824
  6. Step 6: Final answer
    x = 19,812.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.