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Finding the Third Proportional to 20,446.17 and 27,614.67

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Solution

The third proportional to 20,446.17 and 27,614.67 is: 37,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.17 : 27,614.67 = 27,614.67 : x
  2. Step 2: Convert to fraction form
    20,446.17/27,614.67 = 27,614.67/x
  3. Step 3: Cross multiply
    20,446.17x = 27,614.67 × 27,614.67
  4. Step 4: Simplify right side
    20,446.17x = 762,570,102.76
  5. Step 5: Solve for x
    x = 762,570,102.76/20,446.17
  6. Step 6: Final answer
    x = 37,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.