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Finding the Third Proportional to 11,988 and 26,014

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Solution

The third proportional to 11,988 and 26,014 is: 56,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988 : 26,014 = 26,014 : x
  2. Step 2: Convert to fraction form
    11,988/26,014 = 26,014/x
  3. Step 3: Cross multiply
    11,988x = 26,014 × 26,014
  4. Step 4: Simplify right side
    11,988x = 676,728,196
  5. Step 5: Solve for x
    x = 676,728,196/11,988
  6. Step 6: Final answer
    x = 56,450.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.