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Finding the Third Proportional to 20,890 and 45,732

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Solution

The third proportional to 20,890 and 45,732 is: 100,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,890 : 45,732 = 45,732 : x
  2. Step 2: Convert to fraction form
    20,890/45,732 = 45,732/x
  3. Step 3: Cross multiply
    20,890x = 45,732 × 45,732
  4. Step 4: Simplify right side
    20,890x = 2,091,415,824
  5. Step 5: Solve for x
    x = 2,091,415,824/20,890
  6. Step 6: Final answer
    x = 100,115.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.