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Finding the Third Proportional to 6,072.75 and 9,682.88

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Solution

The third proportional to 6,072.75 and 9,682.88 is: 15,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.75 : 9,682.88 = 9,682.88 : x
  2. Step 2: Convert to fraction form
    6,072.75/9,682.88 = 9,682.88/x
  3. Step 3: Cross multiply
    6,072.75x = 9,682.88 × 9,682.88
  4. Step 4: Simplify right side
    6,072.75x = 93,758,068.27
  5. Step 5: Solve for x
    x = 93,758,068.27/6,072.75
  6. Step 6: Final answer
    x = 15,439.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.