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Finding the Third Proportional to 3,778.75 and 5,870.75

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Solution

The third proportional to 3,778.75 and 5,870.75 is: 9,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.75 : 5,870.75 = 5,870.75 : x
  2. Step 2: Convert to fraction form
    3,778.75/5,870.75 = 5,870.75/x
  3. Step 3: Cross multiply
    3,778.75x = 5,870.75 × 5,870.75
  4. Step 4: Simplify right side
    3,778.75x = 34,465,705.56
  5. Step 5: Solve for x
    x = 34,465,705.56/3,778.75
  6. Step 6: Final answer
    x = 9,120.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.