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Finding the Third Proportional to 11,184 and 24,364

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Solution

The third proportional to 11,184 and 24,364 is: 53,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184 : 24,364 = 24,364 : x
  2. Step 2: Convert to fraction form
    11,184/24,364 = 24,364/x
  3. Step 3: Cross multiply
    11,184x = 24,364 × 24,364
  4. Step 4: Simplify right side
    11,184x = 593,604,496
  5. Step 5: Solve for x
    x = 593,604,496/11,184
  6. Step 6: Final answer
    x = 53,076.22

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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.