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Finding the Third Proportional to 7,797.94 and 18,500.06

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Solution

The third proportional to 7,797.94 and 18,500.06 is: 43,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.94 : 18,500.06 = 18,500.06 : x
  2. Step 2: Convert to fraction form
    7,797.94/18,500.06 = 18,500.06/x
  3. Step 3: Cross multiply
    7,797.94x = 18,500.06 × 18,500.06
  4. Step 4: Simplify right side
    7,797.94x = 342,252,312.50
  5. Step 5: Solve for x
    x = 342,252,312.50/7,797.94
  6. Step 6: Final answer
    x = 43,890.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.