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Finding the Third Proportional to 3,163 and 4,084.50

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Solution

The third proportional to 3,163 and 4,084.50 is: 5,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163 : 4,084.50 = 4,084.50 : x
  2. Step 2: Convert to fraction form
    3,163/4,084.50 = 4,084.50/x
  3. Step 3: Cross multiply
    3,163x = 4,084.50 × 4,084.50
  4. Step 4: Simplify right side
    3,163x = 16,683,140.25
  5. Step 5: Solve for x
    x = 16,683,140.25/3,163
  6. Step 6: Final answer
    x = 5,274.47

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.