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Finding the Third Proportional to 11,184 and 24,213

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Solution

The third proportional to 11,184 and 24,213 is: 52,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184 : 24,213 = 24,213 : x
  2. Step 2: Convert to fraction form
    11,184/24,213 = 24,213/x
  3. Step 3: Cross multiply
    11,184x = 24,213 × 24,213
  4. Step 4: Simplify right side
    11,184x = 586,269,369
  5. Step 5: Solve for x
    x = 586,269,369/11,184
  6. Step 6: Final answer
    x = 52,420.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.