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Finding the Third Proportional to 4,203.14 and 7,406.75

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Solution

The third proportional to 4,203.14 and 7,406.75 is: 13,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.14 : 7,406.75 = 7,406.75 : x
  2. Step 2: Convert to fraction form
    4,203.14/7,406.75 = 7,406.75/x
  3. Step 3: Cross multiply
    4,203.14x = 7,406.75 × 7,406.75
  4. Step 4: Simplify right side
    4,203.14x = 54,860,003.43
  5. Step 5: Solve for x
    x = 54,860,003.43/4,203.14
  6. Step 6: Final answer
    x = 13,052.15

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.