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Finding the Third Proportional to 20,600 and 30,008

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Solution

The third proportional to 20,600 and 30,008 is: 43,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600 : 30,008 = 30,008 : x
  2. Step 2: Convert to fraction form
    20,600/30,008 = 30,008/x
  3. Step 3: Cross multiply
    20,600x = 30,008 × 30,008
  4. Step 4: Simplify right side
    20,600x = 900,480,064
  5. Step 5: Solve for x
    x = 900,480,064/20,600
  6. Step 6: Final answer
    x = 43,712.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.