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Finding the Third Proportional to 11,477 and 24,321

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Solution

The third proportional to 11,477 and 24,321 is: 51,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477 : 24,321 = 24,321 : x
  2. Step 2: Convert to fraction form
    11,477/24,321 = 24,321/x
  3. Step 3: Cross multiply
    11,477x = 24,321 × 24,321
  4. Step 4: Simplify right side
    11,477x = 591,511,041
  5. Step 5: Solve for x
    x = 591,511,041/11,477
  6. Step 6: Final answer
    x = 51,538.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.