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Finding the Third Proportional to 11,150 and 24,373

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Solution

The third proportional to 11,150 and 24,373 is: 53,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150 : 24,373 = 24,373 : x
  2. Step 2: Convert to fraction form
    11,150/24,373 = 24,373/x
  3. Step 3: Cross multiply
    11,150x = 24,373 × 24,373
  4. Step 4: Simplify right side
    11,150x = 594,043,129
  5. Step 5: Solve for x
    x = 594,043,129/11,150
  6. Step 6: Final answer
    x = 53,277.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.