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Finding the Third Proportional to 11,235 and 24,314

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Solution

The third proportional to 11,235 and 24,314 is: 52,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235 : 24,314 = 24,314 : x
  2. Step 2: Convert to fraction form
    11,235/24,314 = 24,314/x
  3. Step 3: Cross multiply
    11,235x = 24,314 × 24,314
  4. Step 4: Simplify right side
    11,235x = 591,170,596
  5. Step 5: Solve for x
    x = 591,170,596/11,235
  6. Step 6: Final answer
    x = 52,618.66

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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.