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Finding the Third Proportional to 7,730.44 and 16,964.44

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Solution

The third proportional to 7,730.44 and 16,964.44 is: 37,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.44 : 16,964.44 = 16,964.44 : x
  2. Step 2: Convert to fraction form
    7,730.44/16,964.44 = 16,964.44/x
  3. Step 3: Cross multiply
    7,730.44x = 16,964.44 × 16,964.44
  4. Step 4: Simplify right side
    7,730.44x = 287,792,139.69
  5. Step 5: Solve for x
    x = 287,792,139.69/7,730.44
  6. Step 6: Final answer
    x = 37,228.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.