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Finding the Third Proportional to 24,200 and 34,028

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Solution

The third proportional to 24,200 and 34,028 is: 47,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200 : 34,028 = 34,028 : x
  2. Step 2: Convert to fraction form
    24,200/34,028 = 34,028/x
  3. Step 3: Cross multiply
    24,200x = 34,028 × 34,028
  4. Step 4: Simplify right side
    24,200x = 1,157,904,784
  5. Step 5: Solve for x
    x = 1,157,904,784/24,200
  6. Step 6: Final answer
    x = 47,847.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.