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Finding the Third Proportional to 10,101 and 20,910

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Solution

The third proportional to 10,101 and 20,910 is: 43,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    10,101/20,910 = 20,910/x
  3. Step 3: Cross multiply
    10,101x = 20,910 × 20,910
  4. Step 4: Simplify right side
    10,101x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/10,101
  6. Step 6: Final answer
    x = 43,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.