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Finding the Third Proportional to 14,174.68 and 20,851.49

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Solution

The third proportional to 14,174.68 and 20,851.49 is: 30,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.68 : 20,851.49 = 20,851.49 : x
  2. Step 2: Convert to fraction form
    14,174.68/20,851.49 = 20,851.49/x
  3. Step 3: Cross multiply
    14,174.68x = 20,851.49 × 20,851.49
  4. Step 4: Simplify right side
    14,174.68x = 434,784,563.54
  5. Step 5: Solve for x
    x = 434,784,563.54/14,174.68
  6. Step 6: Final answer
    x = 30,673.32

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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.