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Finding the Third Proportional to 6,076 and 10,824

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Solution

The third proportional to 6,076 and 10,824 is: 19,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 10,824 = 10,824 : x
  2. Step 2: Convert to fraction form
    6,076/10,824 = 10,824/x
  3. Step 3: Cross multiply
    6,076x = 10,824 × 10,824
  4. Step 4: Simplify right side
    6,076x = 117,158,976
  5. Step 5: Solve for x
    x = 117,158,976/6,076
  6. Step 6: Final answer
    x = 19,282.25

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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.