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Finding the Third Proportional to 7,049.25 and 16,700.06

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Solution

The third proportional to 7,049.25 and 16,700.06 is: 39,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.25 : 16,700.06 = 16,700.06 : x
  2. Step 2: Convert to fraction form
    7,049.25/16,700.06 = 16,700.06/x
  3. Step 3: Cross multiply
    7,049.25x = 16,700.06 × 16,700.06
  4. Step 4: Simplify right side
    7,049.25x = 278,892,087.50
  5. Step 5: Solve for x
    x = 278,892,087.50/7,049.25
  6. Step 6: Final answer
    x = 39,563.37

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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.