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Finding the Third Proportional to 20,124 and 29,604

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Solution

The third proportional to 20,124 and 29,604 is: 43,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 29,604 = 29,604 : x
  2. Step 2: Convert to fraction form
    20,124/29,604 = 29,604/x
  3. Step 3: Cross multiply
    20,124x = 29,604 × 29,604
  4. Step 4: Simplify right side
    20,124x = 876,396,816
  5. Step 5: Solve for x
    x = 876,396,816/20,124
  6. Step 6: Final answer
    x = 43,549.83

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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.