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Finding the Third Proportional to 6,414.75 and 7,814.25

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Solution

The third proportional to 6,414.75 and 7,814.25 is: 9,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.75 : 7,814.25 = 7,814.25 : x
  2. Step 2: Convert to fraction form
    6,414.75/7,814.25 = 7,814.25/x
  3. Step 3: Cross multiply
    6,414.75x = 7,814.25 × 7,814.25
  4. Step 4: Simplify right side
    6,414.75x = 61,062,503.06
  5. Step 5: Solve for x
    x = 61,062,503.06/6,414.75
  6. Step 6: Final answer
    x = 9,519.08

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.