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Finding the Third Proportional to 3,757.50 and 4,878.56

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Solution

The third proportional to 3,757.50 and 4,878.56 is: 6,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.50 : 4,878.56 = 4,878.56 : x
  2. Step 2: Convert to fraction form
    3,757.50/4,878.56 = 4,878.56/x
  3. Step 3: Cross multiply
    3,757.50x = 4,878.56 × 4,878.56
  4. Step 4: Simplify right side
    3,757.50x = 23,800,372.07
  5. Step 5: Solve for x
    x = 23,800,372.07/3,757.50
  6. Step 6: Final answer
    x = 6,334.10

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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.