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Finding the Third Proportional to 11,036 and 24,374

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Solution

The third proportional to 11,036 and 24,374 is: 53,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036 : 24,374 = 24,374 : x
  2. Step 2: Convert to fraction form
    11,036/24,374 = 24,374/x
  3. Step 3: Cross multiply
    11,036x = 24,374 × 24,374
  4. Step 4: Simplify right side
    11,036x = 594,091,876
  5. Step 5: Solve for x
    x = 594,091,876/11,036
  6. Step 6: Final answer
    x = 53,832.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.