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Finding the Third Proportional to 3,577.13 and 4,861.31

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Solution

The third proportional to 3,577.13 and 4,861.31 is: 6,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.13 : 4,861.31 = 4,861.31 : x
  2. Step 2: Convert to fraction form
    3,577.13/4,861.31 = 4,861.31/x
  3. Step 3: Cross multiply
    3,577.13x = 4,861.31 × 4,861.31
  4. Step 4: Simplify right side
    3,577.13x = 23,632,359.22
  5. Step 5: Solve for x
    x = 23,632,359.22/3,577.13
  6. Step 6: Final answer
    x = 6,606.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.