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Finding the Third Proportional to 11,529 and 24,875

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Solution

The third proportional to 11,529 and 24,875 is: 53,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529 : 24,875 = 24,875 : x
  2. Step 2: Convert to fraction form
    11,529/24,875 = 24,875/x
  3. Step 3: Cross multiply
    11,529x = 24,875 × 24,875
  4. Step 4: Simplify right side
    11,529x = 618,765,625
  5. Step 5: Solve for x
    x = 618,765,625/11,529
  6. Step 6: Final answer
    x = 53,670.36

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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.