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Finding the Third Proportional to 11,973 and 25,748.25

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Solution

The third proportional to 11,973 and 25,748.25 is: 55,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 25,748.25 = 25,748.25 : x
  2. Step 2: Convert to fraction form
    11,973/25,748.25 = 25,748.25/x
  3. Step 3: Cross multiply
    11,973x = 25,748.25 × 25,748.25
  4. Step 4: Simplify right side
    11,973x = 662,972,378.06
  5. Step 5: Solve for x
    x = 662,972,378.06/11,973
  6. Step 6: Final answer
    x = 55,372.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.