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Finding the Third Proportional to 11,871 and 25,645

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Solution

The third proportional to 11,871 and 25,645 is: 55,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871 : 25,645 = 25,645 : x
  2. Step 2: Convert to fraction form
    11,871/25,645 = 25,645/x
  3. Step 3: Cross multiply
    11,871x = 25,645 × 25,645
  4. Step 4: Simplify right side
    11,871x = 657,666,025
  5. Step 5: Solve for x
    x = 657,666,025/11,871
  6. Step 6: Final answer
    x = 55,401.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.