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Finding the Third Proportional to 5,412 and 11,752

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Solution

The third proportional to 5,412 and 11,752 is: 25,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412 : 11,752 = 11,752 : x
  2. Step 2: Convert to fraction form
    5,412/11,752 = 11,752/x
  3. Step 3: Cross multiply
    5,412x = 11,752 × 11,752
  4. Step 4: Simplify right side
    5,412x = 138,109,504
  5. Step 5: Solve for x
    x = 138,109,504/5,412
  6. Step 6: Final answer
    x = 25,519.12

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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.