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Finding the Third Proportional to 3,520 and 6,114

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Solution

The third proportional to 3,520 and 6,114 is: 10,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520 : 6,114 = 6,114 : x
  2. Step 2: Convert to fraction form
    3,520/6,114 = 6,114/x
  3. Step 3: Cross multiply
    3,520x = 6,114 × 6,114
  4. Step 4: Simplify right side
    3,520x = 37,380,996
  5. Step 5: Solve for x
    x = 37,380,996/3,520
  6. Step 6: Final answer
    x = 10,619.60

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.