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Finding the Third Proportional to 3,494 and 6,430

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Solution

The third proportional to 3,494 and 6,430 is: 11,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494 : 6,430 = 6,430 : x
  2. Step 2: Convert to fraction form
    3,494/6,430 = 6,430/x
  3. Step 3: Cross multiply
    3,494x = 6,430 × 6,430
  4. Step 4: Simplify right side
    3,494x = 41,344,900
  5. Step 5: Solve for x
    x = 41,344,900/3,494
  6. Step 6: Final answer
    x = 11,833.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.