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Finding the Third Proportional to 3,714.75 and 5,645.25

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Solution

The third proportional to 3,714.75 and 5,645.25 is: 8,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.75 : 5,645.25 = 5,645.25 : x
  2. Step 2: Convert to fraction form
    3,714.75/5,645.25 = 5,645.25/x
  3. Step 3: Cross multiply
    3,714.75x = 5,645.25 × 5,645.25
  4. Step 4: Simplify right side
    3,714.75x = 31,868,847.56
  5. Step 5: Solve for x
    x = 31,868,847.56/3,714.75
  6. Step 6: Final answer
    x = 8,579.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.