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Finding the Third Proportional to 24,824 and 54,025

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Solution

The third proportional to 24,824 and 54,025 is: 117,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 54,025 = 54,025 : x
  2. Step 2: Convert to fraction form
    24,824/54,025 = 54,025/x
  3. Step 3: Cross multiply
    24,824x = 54,025 × 54,025
  4. Step 4: Simplify right side
    24,824x = 2,918,700,625
  5. Step 5: Solve for x
    x = 2,918,700,625/24,824
  6. Step 6: Final answer
    x = 117,575.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.