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Finding the Third Proportional to 11,197 and 24,579

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Solution

The third proportional to 11,197 and 24,579 is: 53,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197 : 24,579 = 24,579 : x
  2. Step 2: Convert to fraction form
    11,197/24,579 = 24,579/x
  3. Step 3: Cross multiply
    11,197x = 24,579 × 24,579
  4. Step 4: Simplify right side
    11,197x = 604,127,241
  5. Step 5: Solve for x
    x = 604,127,241/11,197
  6. Step 6: Final answer
    x = 53,954.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.