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Finding the Third Proportional to 11,955.50 and 26,098

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Solution

The third proportional to 11,955.50 and 26,098 is: 56,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.50 : 26,098 = 26,098 : x
  2. Step 2: Convert to fraction form
    11,955.50/26,098 = 26,098/x
  3. Step 3: Cross multiply
    11,955.50x = 26,098 × 26,098
  4. Step 4: Simplify right side
    11,955.50x = 681,105,604
  5. Step 5: Solve for x
    x = 681,105,604/11,955.50
  6. Step 6: Final answer
    x = 56,970.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.