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Finding the Third Proportional to 20,964 and 27,990

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Solution

The third proportional to 20,964 and 27,990 is: 37,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964 : 27,990 = 27,990 : x
  2. Step 2: Convert to fraction form
    20,964/27,990 = 27,990/x
  3. Step 3: Cross multiply
    20,964x = 27,990 × 27,990
  4. Step 4: Simplify right side
    20,964x = 783,440,100
  5. Step 5: Solve for x
    x = 783,440,100/20,964
  6. Step 6: Final answer
    x = 37,370.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.