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Finding the Third Proportional to 7,694.72 and 16,576.74

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Solution

The third proportional to 7,694.72 and 16,576.74 is: 35,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.72 : 16,576.74 = 16,576.74 : x
  2. Step 2: Convert to fraction form
    7,694.72/16,576.74 = 16,576.74/x
  3. Step 3: Cross multiply
    7,694.72x = 16,576.74 × 16,576.74
  4. Step 4: Simplify right side
    7,694.72x = 274,788,341.08
  5. Step 5: Solve for x
    x = 274,788,341.08/7,694.72
  6. Step 6: Final answer
    x = 35,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.