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Finding the Third Proportional to 2,500.75 and 3,730.75

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Solution

The third proportional to 2,500.75 and 3,730.75 is: 5,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.75 : 3,730.75 = 3,730.75 : x
  2. Step 2: Convert to fraction form
    2,500.75/3,730.75 = 3,730.75/x
  3. Step 3: Cross multiply
    2,500.75x = 3,730.75 × 3,730.75
  4. Step 4: Simplify right side
    2,500.75x = 13,918,495.56
  5. Step 5: Solve for x
    x = 13,918,495.56/2,500.75
  6. Step 6: Final answer
    x = 5,565.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.