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Finding the Third Proportional to 3,329.50 and 7,235

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Solution

The third proportional to 3,329.50 and 7,235 is: 15,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.50 : 7,235 = 7,235 : x
  2. Step 2: Convert to fraction form
    3,329.50/7,235 = 7,235/x
  3. Step 3: Cross multiply
    3,329.50x = 7,235 × 7,235
  4. Step 4: Simplify right side
    3,329.50x = 52,345,225
  5. Step 5: Solve for x
    x = 52,345,225/3,329.50
  6. Step 6: Final answer
    x = 15,721.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.