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Finding the Third Proportional to 3,295 and 5,108.50

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Solution

The third proportional to 3,295 and 5,108.50 is: 7,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295 : 5,108.50 = 5,108.50 : x
  2. Step 2: Convert to fraction form
    3,295/5,108.50 = 5,108.50/x
  3. Step 3: Cross multiply
    3,295x = 5,108.50 × 5,108.50
  4. Step 4: Simplify right side
    3,295x = 26,096,772.25
  5. Step 5: Solve for x
    x = 26,096,772.25/3,295
  6. Step 6: Final answer
    x = 7,920.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.