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Finding the Third Proportional to 2,834 and 6,140

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Solution

The third proportional to 2,834 and 6,140 is: 13,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834 : 6,140 = 6,140 : x
  2. Step 2: Convert to fraction form
    2,834/6,140 = 6,140/x
  3. Step 3: Cross multiply
    2,834x = 6,140 × 6,140
  4. Step 4: Simplify right side
    2,834x = 37,699,600
  5. Step 5: Solve for x
    x = 37,699,600/2,834
  6. Step 6: Final answer
    x = 13,302.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.