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Finding the Third Proportional to 11,187 and 26,685

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Solution

The third proportional to 11,187 and 26,685 is: 63,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187 : 26,685 = 26,685 : x
  2. Step 2: Convert to fraction form
    11,187/26,685 = 26,685/x
  3. Step 3: Cross multiply
    11,187x = 26,685 × 26,685
  4. Step 4: Simplify right side
    11,187x = 712,089,225
  5. Step 5: Solve for x
    x = 712,089,225/11,187
  6. Step 6: Final answer
    x = 63,653.28

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.