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Finding the Third Proportional to 20,548.69 and 26,431.95

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Solution

The third proportional to 20,548.69 and 26,431.95 is: 33,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.69 : 26,431.95 = 26,431.95 : x
  2. Step 2: Convert to fraction form
    20,548.69/26,431.95 = 26,431.95/x
  3. Step 3: Cross multiply
    20,548.69x = 26,431.95 × 26,431.95
  4. Step 4: Simplify right side
    20,548.69x = 698,647,733.00
  5. Step 5: Solve for x
    x = 698,647,733.00/20,548.69
  6. Step 6: Final answer
    x = 33,999.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.