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Finding the Third Proportional to 4,962 and 6,817.50

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Solution

The third proportional to 4,962 and 6,817.50 is: 9,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962 : 6,817.50 = 6,817.50 : x
  2. Step 2: Convert to fraction form
    4,962/6,817.50 = 6,817.50/x
  3. Step 3: Cross multiply
    4,962x = 6,817.50 × 6,817.50
  4. Step 4: Simplify right side
    4,962x = 46,478,306.25
  5. Step 5: Solve for x
    x = 46,478,306.25/4,962
  6. Step 6: Final answer
    x = 9,366.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.