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Finding the Third Proportional to 11,644 and 24,668

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Solution

The third proportional to 11,644 and 24,668 is: 52,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 24,668 = 24,668 : x
  2. Step 2: Convert to fraction form
    11,644/24,668 = 24,668/x
  3. Step 3: Cross multiply
    11,644x = 24,668 × 24,668
  4. Step 4: Simplify right side
    11,644x = 608,510,224
  5. Step 5: Solve for x
    x = 608,510,224/11,644
  6. Step 6: Final answer
    x = 52,259.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.