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Finding the Third Proportional to 20,989.13 and 32,546.81

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Solution

The third proportional to 20,989.13 and 32,546.81 is: 50,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.13 : 32,546.81 = 32,546.81 : x
  2. Step 2: Convert to fraction form
    20,989.13/32,546.81 = 32,546.81/x
  3. Step 3: Cross multiply
    20,989.13x = 32,546.81 × 32,546.81
  4. Step 4: Simplify right side
    20,989.13x = 1,059,295,003.91
  5. Step 5: Solve for x
    x = 1,059,295,003.91/20,989.13
  6. Step 6: Final answer
    x = 50,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.