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Finding the Third Proportional to 11,677 and 25,621

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Solution

The third proportional to 11,677 and 25,621 is: 56,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677 : 25,621 = 25,621 : x
  2. Step 2: Convert to fraction form
    11,677/25,621 = 25,621/x
  3. Step 3: Cross multiply
    11,677x = 25,621 × 25,621
  4. Step 4: Simplify right side
    11,677x = 656,435,641
  5. Step 5: Solve for x
    x = 656,435,641/11,677
  6. Step 6: Final answer
    x = 56,216.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.