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Finding the Third Proportional to 24,824 and 54,832

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Solution

The third proportional to 24,824 and 54,832 is: 121,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 54,832 = 54,832 : x
  2. Step 2: Convert to fraction form
    24,824/54,832 = 54,832/x
  3. Step 3: Cross multiply
    24,824x = 54,832 × 54,832
  4. Step 4: Simplify right side
    24,824x = 3,006,548,224
  5. Step 5: Solve for x
    x = 3,006,548,224/24,824
  6. Step 6: Final answer
    x = 121,114.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.