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Finding the Third Proportional to 3,051.50 and 4,577.31

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Solution

The third proportional to 3,051.50 and 4,577.31 is: 6,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.50 : 4,577.31 = 4,577.31 : x
  2. Step 2: Convert to fraction form
    3,051.50/4,577.31 = 4,577.31/x
  3. Step 3: Cross multiply
    3,051.50x = 4,577.31 × 4,577.31
  4. Step 4: Simplify right side
    3,051.50x = 20,951,789.72
  5. Step 5: Solve for x
    x = 20,951,789.72/3,051.50
  6. Step 6: Final answer
    x = 6,866.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.