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Finding the Third Proportional to 20,902 and 44,638.75

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Solution

The third proportional to 20,902 and 44,638.75 is: 95,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902 : 44,638.75 = 44,638.75 : x
  2. Step 2: Convert to fraction form
    20,902/44,638.75 = 44,638.75/x
  3. Step 3: Cross multiply
    20,902x = 44,638.75 × 44,638.75
  4. Step 4: Simplify right side
    20,902x = 1,992,618,001.56
  5. Step 5: Solve for x
    x = 1,992,618,001.56/20,902
  6. Step 6: Final answer
    x = 95,331.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.