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Finding the Third Proportional to 20,650 and 30,107

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Solution

The third proportional to 20,650 and 30,107 is: 43,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650 : 30,107 = 30,107 : x
  2. Step 2: Convert to fraction form
    20,650/30,107 = 30,107/x
  3. Step 3: Cross multiply
    20,650x = 30,107 × 30,107
  4. Step 4: Simplify right side
    20,650x = 906,431,449
  5. Step 5: Solve for x
    x = 906,431,449/20,650
  6. Step 6: Final answer
    x = 43,894.99

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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.