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Finding the Third Proportional to 20,337.75 and 48,978

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Solution

The third proportional to 20,337.75 and 48,978 is: 117,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,337.75 : 48,978 = 48,978 : x
  2. Step 2: Convert to fraction form
    20,337.75/48,978 = 48,978/x
  3. Step 3: Cross multiply
    20,337.75x = 48,978 × 48,978
  4. Step 4: Simplify right side
    20,337.75x = 2,398,844,484
  5. Step 5: Solve for x
    x = 2,398,844,484/20,337.75
  6. Step 6: Final answer
    x = 117,950.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.