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Finding the Third Proportional to 11,425 and 26,447

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Solution

The third proportional to 11,425 and 26,447 is: 61,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425 : 26,447 = 26,447 : x
  2. Step 2: Convert to fraction form
    11,425/26,447 = 26,447/x
  3. Step 3: Cross multiply
    11,425x = 26,447 × 26,447
  4. Step 4: Simplify right side
    11,425x = 699,443,809
  5. Step 5: Solve for x
    x = 699,443,809/11,425
  6. Step 6: Final answer
    x = 61,220.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.