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Finding the Third Proportional to 11,422 and 24,352

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Solution

The third proportional to 11,422 and 24,352 is: 51,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 24,352 = 24,352 : x
  2. Step 2: Convert to fraction form
    11,422/24,352 = 24,352/x
  3. Step 3: Cross multiply
    11,422x = 24,352 × 24,352
  4. Step 4: Simplify right side
    11,422x = 593,019,904
  5. Step 5: Solve for x
    x = 593,019,904/11,422
  6. Step 6: Final answer
    x = 51,919.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.