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Finding the Third Proportional to 11,829 and 25,657

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Solution

The third proportional to 11,829 and 25,657 is: 55,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 25,657 = 25,657 : x
  2. Step 2: Convert to fraction form
    11,829/25,657 = 25,657/x
  3. Step 3: Cross multiply
    11,829x = 25,657 × 25,657
  4. Step 4: Simplify right side
    11,829x = 658,281,649
  5. Step 5: Solve for x
    x = 658,281,649/11,829
  6. Step 6: Final answer
    x = 55,649.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.