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Finding the Third Proportional to 4,114.13 and 7,661.25

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Solution

The third proportional to 4,114.13 and 7,661.25 is: 14,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 7,661.25 = 7,661.25 : x
  2. Step 2: Convert to fraction form
    4,114.13/7,661.25 = 7,661.25/x
  3. Step 3: Cross multiply
    4,114.13x = 7,661.25 × 7,661.25
  4. Step 4: Simplify right side
    4,114.13x = 58,694,751.56
  5. Step 5: Solve for x
    x = 58,694,751.56/4,114.13
  6. Step 6: Final answer
    x = 14,266.64

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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.