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Finding the Third Proportional to 6,898 and 10,550

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Solution

The third proportional to 6,898 and 10,550 is: 16,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 10,550 = 10,550 : x
  2. Step 2: Convert to fraction form
    6,898/10,550 = 10,550/x
  3. Step 3: Cross multiply
    6,898x = 10,550 × 10,550
  4. Step 4: Simplify right side
    6,898x = 111,302,500
  5. Step 5: Solve for x
    x = 111,302,500/6,898
  6. Step 6: Final answer
    x = 16,135.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.