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Finding the Third Proportional to 7,935.50 and 16,235

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Solution

The third proportional to 7,935.50 and 16,235 is: 33,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.50 : 16,235 = 16,235 : x
  2. Step 2: Convert to fraction form
    7,935.50/16,235 = 16,235/x
  3. Step 3: Cross multiply
    7,935.50x = 16,235 × 16,235
  4. Step 4: Simplify right side
    7,935.50x = 263,575,225
  5. Step 5: Solve for x
    x = 263,575,225/7,935.50
  6. Step 6: Final answer
    x = 33,214.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.