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Finding the Third Proportional to 4,687.88 and 6,812.44

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Solution

The third proportional to 4,687.88 and 6,812.44 is: 9,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.88 : 6,812.44 = 6,812.44 : x
  2. Step 2: Convert to fraction form
    4,687.88/6,812.44 = 6,812.44/x
  3. Step 3: Cross multiply
    4,687.88x = 6,812.44 × 6,812.44
  4. Step 4: Simplify right side
    4,687.88x = 46,409,304.69
  5. Step 5: Solve for x
    x = 46,409,304.69/4,687.88
  6. Step 6: Final answer
    x = 9,899.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.