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Finding the Third Proportional to 3,470 and 7,100

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Solution

The third proportional to 3,470 and 7,100 is: 14,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 7,100 = 7,100 : x
  2. Step 2: Convert to fraction form
    3,470/7,100 = 7,100/x
  3. Step 3: Cross multiply
    3,470x = 7,100 × 7,100
  4. Step 4: Simplify right side
    3,470x = 50,410,000
  5. Step 5: Solve for x
    x = 50,410,000/3,470
  6. Step 6: Final answer
    x = 14,527.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.