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Finding the Third Proportional to 20,964 and 44,800

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Solution

The third proportional to 20,964 and 44,800 is: 95,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964 : 44,800 = 44,800 : x
  2. Step 2: Convert to fraction form
    20,964/44,800 = 44,800/x
  3. Step 3: Cross multiply
    20,964x = 44,800 × 44,800
  4. Step 4: Simplify right side
    20,964x = 2,007,040,000
  5. Step 5: Solve for x
    x = 2,007,040,000/20,964
  6. Step 6: Final answer
    x = 95,737.45

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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.