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Finding the Third Proportional to 6,441.75 and 14,113.13

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Solution

The third proportional to 6,441.75 and 14,113.13 is: 30,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.75 : 14,113.13 = 14,113.13 : x
  2. Step 2: Convert to fraction form
    6,441.75/14,113.13 = 14,113.13/x
  3. Step 3: Cross multiply
    6,441.75x = 14,113.13 × 14,113.13
  4. Step 4: Simplify right side
    6,441.75x = 199,180,297.27
  5. Step 5: Solve for x
    x = 199,180,297.27/6,441.75
  6. Step 6: Final answer
    x = 30,920.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.