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Finding the Third Proportional to 7,730.44 and 16,846.73

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Solution

The third proportional to 7,730.44 and 16,846.73 is: 36,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.44 : 16,846.73 = 16,846.73 : x
  2. Step 2: Convert to fraction form
    7,730.44/16,846.73 = 16,846.73/x
  3. Step 3: Cross multiply
    7,730.44x = 16,846.73 × 16,846.73
  4. Step 4: Simplify right side
    7,730.44x = 283,812,459.10
  5. Step 5: Solve for x
    x = 283,812,459.10/7,730.44
  6. Step 6: Final answer
    x = 36,713.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.