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Finding the Third Proportional to 20,254.50 and 27,069.75

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Solution

The third proportional to 20,254.50 and 27,069.75 is: 36,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.50 : 27,069.75 = 27,069.75 : x
  2. Step 2: Convert to fraction form
    20,254.50/27,069.75 = 27,069.75/x
  3. Step 3: Cross multiply
    20,254.50x = 27,069.75 × 27,069.75
  4. Step 4: Simplify right side
    20,254.50x = 732,771,365.06
  5. Step 5: Solve for x
    x = 732,771,365.06/20,254.50
  6. Step 6: Final answer
    x = 36,178.20

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Why These Related Problems?

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