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Finding the Third Proportional to 11,744 and 25,752

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Solution

The third proportional to 11,744 and 25,752 is: 56,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744 : 25,752 = 25,752 : x
  2. Step 2: Convert to fraction form
    11,744/25,752 = 25,752/x
  3. Step 3: Cross multiply
    11,744x = 25,752 × 25,752
  4. Step 4: Simplify right side
    11,744x = 663,165,504
  5. Step 5: Solve for x
    x = 663,165,504/11,744
  6. Step 6: Final answer
    x = 56,468.45

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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.