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Finding the Third Proportional to 4,773.94 and 6,782.06

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Solution

The third proportional to 4,773.94 and 6,782.06 is: 9,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.94 : 6,782.06 = 6,782.06 : x
  2. Step 2: Convert to fraction form
    4,773.94/6,782.06 = 6,782.06/x
  3. Step 3: Cross multiply
    4,773.94x = 6,782.06 × 6,782.06
  4. Step 4: Simplify right side
    4,773.94x = 45,996,371.75
  5. Step 5: Solve for x
    x = 45,996,371.75/4,773.94
  6. Step 6: Final answer
    x = 9,634.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.