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Finding the Third Proportional to 20,434.50 and 27,460.69

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Solution

The third proportional to 20,434.50 and 27,460.69 is: 36,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.50 : 27,460.69 = 27,460.69 : x
  2. Step 2: Convert to fraction form
    20,434.50/27,460.69 = 27,460.69/x
  3. Step 3: Cross multiply
    20,434.50x = 27,460.69 × 27,460.69
  4. Step 4: Simplify right side
    20,434.50x = 754,089,357.97
  5. Step 5: Solve for x
    x = 754,089,357.97/20,434.50
  6. Step 6: Final answer
    x = 36,902.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.