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Finding the Third Proportional to 4,114.55 and 6,447.09

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Solution

The third proportional to 4,114.55 and 6,447.09 is: 10,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 6,447.09 = 6,447.09 : x
  2. Step 2: Convert to fraction form
    4,114.55/6,447.09 = 6,447.09/x
  3. Step 3: Cross multiply
    4,114.55x = 6,447.09 × 6,447.09
  4. Step 4: Simplify right side
    4,114.55x = 41,565,017.82
  5. Step 5: Solve for x
    x = 41,565,017.82/4,114.55
  6. Step 6: Final answer
    x = 10,101.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.