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Finding the Third Proportional to 4,051 and 6,346.50

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Solution

The third proportional to 4,051 and 6,346.50 is: 9,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051 : 6,346.50 = 6,346.50 : x
  2. Step 2: Convert to fraction form
    4,051/6,346.50 = 6,346.50/x
  3. Step 3: Cross multiply
    4,051x = 6,346.50 × 6,346.50
  4. Step 4: Simplify right side
    4,051x = 40,278,062.25
  5. Step 5: Solve for x
    x = 40,278,062.25/4,051
  6. Step 6: Final answer
    x = 9,942.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.