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Finding the Third Proportional to 5,731.88 and 7,458.75

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Solution

The third proportional to 5,731.88 and 7,458.75 is: 9,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.88 : 7,458.75 = 7,458.75 : x
  2. Step 2: Convert to fraction form
    5,731.88/7,458.75 = 7,458.75/x
  3. Step 3: Cross multiply
    5,731.88x = 7,458.75 × 7,458.75
  4. Step 4: Simplify right side
    5,731.88x = 55,632,951.56
  5. Step 5: Solve for x
    x = 55,632,951.56/5,731.88
  6. Step 6: Final answer
    x = 9,705.89

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.