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Finding the Third Proportional to 11,937.19 and 25,297.31

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Solution

The third proportional to 11,937.19 and 25,297.31 is: 53,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.19 : 25,297.31 = 25,297.31 : x
  2. Step 2: Convert to fraction form
    11,937.19/25,297.31 = 25,297.31/x
  3. Step 3: Cross multiply
    11,937.19x = 25,297.31 × 25,297.31
  4. Step 4: Simplify right side
    11,937.19x = 639,954,019.72
  5. Step 5: Solve for x
    x = 639,954,019.72/11,937.19
  6. Step 6: Final answer
    x = 53,610.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.