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Finding the Third Proportional to 3,028.01 and 4,861.90

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Solution

The third proportional to 3,028.01 and 4,861.90 is: 7,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.01 : 4,861.90 = 4,861.90 : x
  2. Step 2: Convert to fraction form
    3,028.01/4,861.90 = 4,861.90/x
  3. Step 3: Cross multiply
    3,028.01x = 4,861.90 × 4,861.90
  4. Step 4: Simplify right side
    3,028.01x = 23,638,056.42
  5. Step 5: Solve for x
    x = 23,638,056.42/3,028.01
  6. Step 6: Final answer
    x = 7,806.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.