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Finding the Third Proportional to 20,644 and 30,101

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Solution

The third proportional to 20,644 and 30,101 is: 43,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644 : 30,101 = 30,101 : x
  2. Step 2: Convert to fraction form
    20,644/30,101 = 30,101/x
  3. Step 3: Cross multiply
    20,644x = 30,101 × 30,101
  4. Step 4: Simplify right side
    20,644x = 906,070,201
  5. Step 5: Solve for x
    x = 906,070,201/20,644
  6. Step 6: Final answer
    x = 43,890.24

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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.