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Finding the Third Proportional to 11,188.13 and 25,863.05

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Solution

The third proportional to 11,188.13 and 25,863.05 is: 59,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.13 : 25,863.05 = 25,863.05 : x
  2. Step 2: Convert to fraction form
    11,188.13/25,863.05 = 25,863.05/x
  3. Step 3: Cross multiply
    11,188.13x = 25,863.05 × 25,863.05
  4. Step 4: Simplify right side
    11,188.13x = 668,897,193.66
  5. Step 5: Solve for x
    x = 668,897,193.66/11,188.13
  6. Step 6: Final answer
    x = 59,786.35

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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.