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Finding the Third Proportional to 20,939 and 45,637

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Solution

The third proportional to 20,939 and 45,637 is: 99,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939 : 45,637 = 45,637 : x
  2. Step 2: Convert to fraction form
    20,939/45,637 = 45,637/x
  3. Step 3: Cross multiply
    20,939x = 45,637 × 45,637
  4. Step 4: Simplify right side
    20,939x = 2,082,735,769
  5. Step 5: Solve for x
    x = 2,082,735,769/20,939
  6. Step 6: Final answer
    x = 99,466.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.