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Finding the Third Proportional to 12,186.07 and 25,215.05

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Solution

The third proportional to 12,186.07 and 25,215.05 is: 52,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.07 : 25,215.05 = 25,215.05 : x
  2. Step 2: Convert to fraction form
    12,186.07/25,215.05 = 25,215.05/x
  3. Step 3: Cross multiply
    12,186.07x = 25,215.05 × 25,215.05
  4. Step 4: Simplify right side
    12,186.07x = 635,798,588.91
  5. Step 5: Solve for x
    x = 635,798,588.91/12,186.07
  6. Step 6: Final answer
    x = 52,174.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.