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Finding the Third Proportional to 7,687.41 and 16,880.91

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Solution

The third proportional to 7,687.41 and 16,880.91 is: 37,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.41 : 16,880.91 = 16,880.91 : x
  2. Step 2: Convert to fraction form
    7,687.41/16,880.91 = 16,880.91/x
  3. Step 3: Cross multiply
    7,687.41x = 16,880.91 × 16,880.91
  4. Step 4: Simplify right side
    7,687.41x = 284,964,995.82
  5. Step 5: Solve for x
    x = 284,964,995.82/7,687.41
  6. Step 6: Final answer
    x = 37,069.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.