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Finding the Third Proportional to 6,896 and 15,920

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Solution

The third proportional to 6,896 and 15,920 is: 36,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 15,920 = 15,920 : x
  2. Step 2: Convert to fraction form
    6,896/15,920 = 15,920/x
  3. Step 3: Cross multiply
    6,896x = 15,920 × 15,920
  4. Step 4: Simplify right side
    6,896x = 253,446,400
  5. Step 5: Solve for x
    x = 253,446,400/6,896
  6. Step 6: Final answer
    x = 36,752.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.