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Finding the Third Proportional to 5,074.38 and 7,590.88

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Solution

The third proportional to 5,074.38 and 7,590.88 is: 11,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.38 : 7,590.88 = 7,590.88 : x
  2. Step 2: Convert to fraction form
    5,074.38/7,590.88 = 7,590.88/x
  3. Step 3: Cross multiply
    5,074.38x = 7,590.88 × 7,590.88
  4. Step 4: Simplify right side
    5,074.38x = 57,621,383.27
  5. Step 5: Solve for x
    x = 57,621,383.27/5,074.38
  6. Step 6: Final answer
    x = 11,355.37

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