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Finding the Third Proportional to 3,834 and 7,116.75

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Solution

The third proportional to 3,834 and 7,116.75 is: 13,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 7,116.75 = 7,116.75 : x
  2. Step 2: Convert to fraction form
    3,834/7,116.75 = 7,116.75/x
  3. Step 3: Cross multiply
    3,834x = 7,116.75 × 7,116.75
  4. Step 4: Simplify right side
    3,834x = 50,648,130.56
  5. Step 5: Solve for x
    x = 50,648,130.56/3,834
  6. Step 6: Final answer
    x = 13,210.26

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.