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Finding the Third Proportional to 5,106 and 7,137

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Solution

The third proportional to 5,106 and 7,137 is: 9,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 7,137 = 7,137 : x
  2. Step 2: Convert to fraction form
    5,106/7,137 = 7,137/x
  3. Step 3: Cross multiply
    5,106x = 7,137 × 7,137
  4. Step 4: Simplify right side
    5,106x = 50,936,769
  5. Step 5: Solve for x
    x = 50,936,769/5,106
  6. Step 6: Final answer
    x = 9,975.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.