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Finding the Third Proportional to 11,656 and 24,392

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Solution

The third proportional to 11,656 and 24,392 is: 51,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 24,392 = 24,392 : x
  2. Step 2: Convert to fraction form
    11,656/24,392 = 24,392/x
  3. Step 3: Cross multiply
    11,656x = 24,392 × 24,392
  4. Step 4: Simplify right side
    11,656x = 594,969,664
  5. Step 5: Solve for x
    x = 594,969,664/11,656
  6. Step 6: Final answer
    x = 51,044.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.