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Finding the Third Proportional to 20,852 and 30,725

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Solution

The third proportional to 20,852 and 30,725 is: 45,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852 : 30,725 = 30,725 : x
  2. Step 2: Convert to fraction form
    20,852/30,725 = 30,725/x
  3. Step 3: Cross multiply
    20,852x = 30,725 × 30,725
  4. Step 4: Simplify right side
    20,852x = 944,025,625
  5. Step 5: Solve for x
    x = 944,025,625/20,852
  6. Step 6: Final answer
    x = 45,272.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.