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Finding the Third Proportional to 11,326 and 24,386

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Solution

The third proportional to 11,326 and 24,386 is: 52,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326 : 24,386 = 24,386 : x
  2. Step 2: Convert to fraction form
    11,326/24,386 = 24,386/x
  3. Step 3: Cross multiply
    11,326x = 24,386 × 24,386
  4. Step 4: Simplify right side
    11,326x = 594,676,996
  5. Step 5: Solve for x
    x = 594,676,996/11,326
  6. Step 6: Final answer
    x = 52,505.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.