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Finding the Third Proportional to 3,230 and 5,114

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Solution

The third proportional to 3,230 and 5,114 is: 8,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230 : 5,114 = 5,114 : x
  2. Step 2: Convert to fraction form
    3,230/5,114 = 5,114/x
  3. Step 3: Cross multiply
    3,230x = 5,114 × 5,114
  4. Step 4: Simplify right side
    3,230x = 26,152,996
  5. Step 5: Solve for x
    x = 26,152,996/3,230
  6. Step 6: Final answer
    x = 8,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.