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Finding the Third Proportional to 6,711 and 10,078.50

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Solution

The third proportional to 6,711 and 10,078.50 is: 15,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 10,078.50 = 10,078.50 : x
  2. Step 2: Convert to fraction form
    6,711/10,078.50 = 10,078.50/x
  3. Step 3: Cross multiply
    6,711x = 10,078.50 × 10,078.50
  4. Step 4: Simplify right side
    6,711x = 101,576,162.25
  5. Step 5: Solve for x
    x = 101,576,162.25/6,711
  6. Step 6: Final answer
    x = 15,135.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.