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Finding the Third Proportional to 11,725 and 25,291

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Solution

The third proportional to 11,725 and 25,291 is: 54,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725 : 25,291 = 25,291 : x
  2. Step 2: Convert to fraction form
    11,725/25,291 = 25,291/x
  3. Step 3: Cross multiply
    11,725x = 25,291 × 25,291
  4. Step 4: Simplify right side
    11,725x = 639,634,681
  5. Step 5: Solve for x
    x = 639,634,681/11,725
  6. Step 6: Final answer
    x = 54,553.06

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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.