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Finding the Third Proportional to 20,538.56 and 41,816.25

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Solution

The third proportional to 20,538.56 and 41,816.25 is: 85,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.56 : 41,816.25 = 41,816.25 : x
  2. Step 2: Convert to fraction form
    20,538.56/41,816.25 = 41,816.25/x
  3. Step 3: Cross multiply
    20,538.56x = 41,816.25 × 41,816.25
  4. Step 4: Simplify right side
    20,538.56x = 1,748,598,764.06
  5. Step 5: Solve for x
    x = 1,748,598,764.06/20,538.56
  6. Step 6: Final answer
    x = 85,137.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.