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Finding the Third Proportional to 5,106 and 5,898

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Solution

The third proportional to 5,106 and 5,898 is: 6,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 5,898 = 5,898 : x
  2. Step 2: Convert to fraction form
    5,106/5,898 = 5,898/x
  3. Step 3: Cross multiply
    5,106x = 5,898 × 5,898
  4. Step 4: Simplify right side
    5,106x = 34,786,404
  5. Step 5: Solve for x
    x = 34,786,404/5,106
  6. Step 6: Final answer
    x = 6,812.85

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.