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Finding the Third Proportional to 11,316 and 24,863

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Solution

The third proportional to 11,316 and 24,863 is: 54,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316 : 24,863 = 24,863 : x
  2. Step 2: Convert to fraction form
    11,316/24,863 = 24,863/x
  3. Step 3: Cross multiply
    11,316x = 24,863 × 24,863
  4. Step 4: Simplify right side
    11,316x = 618,168,769
  5. Step 5: Solve for x
    x = 618,168,769/11,316
  6. Step 6: Final answer
    x = 54,627.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.